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230340040 = 235719291493
BaseRepresentation
bin11011011101010…
…11010111001000
3121001102111010121
431232223113020
5432431340130
634504553024
75464600210
oct1556532710
9531374117
10230340040
11109025977
1265182774
133894aca8
142283d240
151534dd7a
hexdbab5c8

230340040 has 128 divisors (see below), whose sum is σ = 645408000. Its totient is φ = 72188928.

The previous prime is 230340031. The next prime is 230340041. The reversal of 230340040 is 40043032.

It is a junction number, because it is equal to n+sod(n) for n = 230339996 and 230340023.

It is not an unprimeable number, because it can be changed into a prime (230340041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153534 + ... + 155026.

It is an arithmetic number, because the mean of its divisors is an integer number (5042250).

Almost surely, 2230340040 is an apocalyptic number.

230340040 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 230340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322704000).

230340040 is an abundant number, since it is smaller than the sum of its proper divisors (415067960).

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

230340040 is a wasteful number, since it uses less digits than its factorization.

230340040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 230340040 is about 15176.9575343677. The cubic root of 230340040 is about 612.9943608454.

Adding to 230340040 its reverse (40043032), we get a palindrome (270383072).

The spelling of 230340040 in words is "two hundred thirty million, three hundred forty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 29 35 38 40 56 58 70 76 95 116 133 140 145 152 190 203 232 266 280 290 380 406 532 551 580 665 760 812 1015 1064 1102 1160 1330 1493 1624 2030 2204 2660 2755 2986 3857 4060 4408 5320 5510 5972 7465 7714 8120 10451 11020 11944 14930 15428 19285 20902 22040 28367 29860 30856 38570 41804 43297 52255 56734 59720 77140 83608 86594 104510 113468 141835 154280 173188 198569 209020 216485 226936 283670 303079 346376 397138 418040 432970 567340 606158 794276 822643 865940 992845 1134680 1212316 1515395 1588552 1645286 1731880 1985690 2424632 3030790 3290572 3971380 4113215 5758501 6061580 6581144 7942760 8226430 11517002 12123160 16452860 23034004 28792505 32905720 46068008 57585010 115170020 230340040