Search a number
-
+
203389440 = 293571373
BaseRepresentation
bin11000001111101…
…11101000000000
3112011201020212020
430013313220000
5404031430230
632103201440
75016532062
oct1407675000
9464636766
10203389440
11a4898551
1258146280
13331a2ca7
141d025732
1512cc8810
hexc1f7a00

203389440 has 160 divisors (see below), whose sum is σ = 661136256. Its totient is φ = 53329920.

The previous prime is 203389429. The next prime is 203389447. The reversal of 203389440 is 44983302.

203389440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (203389447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 545094 + ... + 545466.

Almost surely, 2203389440 is an apocalyptic number.

203389440 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 203389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330568128).

203389440 is an abundant number, since it is smaller than the sum of its proper divisors (457746816).

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

203389440 is an equidigital number, since it uses as much as digits as its factorization.

203389440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 203389440 is about 14261.4669652178. The cubic root of 203389440 is about 588.0886533922.

The spelling of 203389440 in words is "two hundred three million, three hundred eighty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 128 142 160 192 213 240 256 284 320 355 373 384 426 480 512 568 640 710 746 768 852 960 1065 1119 1136 1280 1420 1492 1536 1704 1865 1920 2130 2238 2272 2560 2840 2984 3408 3730 3840 4260 4476 4544 5595 5680 5968 6816 7460 7680 8520 8952 9088 11190 11360 11936 13632 14920 17040 17904 18176 22380 22720 23872 26483 27264 29840 34080 35808 36352 44760 45440 47744 52966 54528 59680 68160 71616 79449 89520 90880 95488 105932 109056 119360 132415 136320 143232 158898 179040 181760 190976 211864 238720 264830 272640 286464 317796 358080 397245 423728 477440 529660 545280 572928 635592 716160 794490 847456 954880 1059320 1271184 1432320 1588980 1694912 2118640 2542368 2864640 3177960 3389824 4237280 5084736 6355920 6779648 8474560 10169472 12711840 13559296 16949120 20338944 25423680 33898240 40677888 50847360 67796480 101694720 203389440