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203234400240 = 24351773682361
BaseRepresentation
bin1011110101000110110…
…1101101011111110000
3201102120202101020111220
42331101231231133300
511312211001301430
6233210430305040
720453223620214
oct2752155553760
9642522336456
10203234400240
117921157aa53
123347a958180
131621b443781
149b9d8a2944
1554473ba110
hex2f51b6d7f0

203234400240 has 160 divisors (see below), whose sum is σ = 676226200896. Its totient is φ = 50309038080.

The previous prime is 203234400227. The next prime is 203234400247. The reversal of 203234400240 is 42004432302.

203234400240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 203234400240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203234400247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43341 + ... + 639020.

Almost surely, 2203234400240 is an apocalyptic number.

203234400240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203234400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338113100448).

203234400240 is an abundant number, since it is smaller than the sum of its proper divisors (472991800656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

203234400240 is a wasteful number, since it uses less digits than its factorization.

203234400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682467 (or 682461 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 203234400240 its reverse (42004432302), we get a palindrome (245238832542).

The spelling of 203234400240 in words is "two hundred three billion, two hundred thirty-four million, four hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 73 80 85 102 120 136 146 170 204 219 240 255 272 292 340 365 408 438 510 584 680 730 816 876 1020 1095 1168 1241 1360 1460 1752 2040 2190 2482 2920 3504 3723 4080 4380 4964 5840 6205 7446 8760 9928 12410 14892 17520 18615 19856 24820 29784 37230 49640 59568 74460 99280 148920 297840 682361 1364722 2047083 2729444 3411805 4094166 5458888 6823610 8188332 10235415 10917776 11600137 13647220 16376664 20470830 23200274 27294440 32753328 34800411 40941660 46400548 49812353 54588880 58000685 69600822 81883320 92801096 99624706 116001370 139201644 149437059 163766640 174002055 185602192 199249412 232002740 249061765 278403288 298874118 348004110 398498824 464005480 498123530 556806576 597748236 696008220 747185295 796997648 846810001 928010960 996247060 1195496472 1392016440 1494370590 1693620002 1992494120 2390992944 2540430003 2784032880 2988741180 3387240004 3984988240 4234050005 5080860006 5977482360 6774480008 8468100010 10161720012 11954964720 12702150015 13548960016 16936200020 20323440024 25404300030 33872400040 40646880048 50808600060 67744800080 101617200120 203234400240