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30257093430 = 2335829313513
BaseRepresentation
bin11100001011011101…
…101001101100110110
32220002200001121021000
4130023131221230312
5443431303442210
621522214304130
72120541023244
oct341335515466
986080047230
1030257093430
1111917382143
125a45058046
132b1271c3a5
14167064d794
15bc14aeac0
hex70b769b36

30257093430 has 64 divisors (see below), whose sum is σ = 80701283520. Its totient is φ = 8066988288.

The previous prime is 30257093411. The next prime is 30257093431. The reversal of 30257093430 is 3439075203.

30257093430 is a `hidden beast` number, since 302 + 5 + 7 + 0 + 9 + 343 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30257093431) 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, 2232354 + ... + 2245866.

It is an arithmetic number, because the mean of its divisors is an integer number (1260957555).

Almost surely, 230257093430 is an apocalyptic number.

30257093430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30257093430 is an abundant number, since it is smaller than the sum of its proper divisors (50444190090).

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

30257093430 is a wasteful number, since it uses less digits than its factorization.

30257093430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21822 (or 21816 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The spelling of 30257093430 in words is "thirty billion, two hundred fifty-seven million, ninety-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 8293 13513 16586 24879 27026 40539 41465 49758 67565 74637 81078 82930 121617 124395 135130 149274 202695 223911 243234 248790 364851 373185 405390 447822 608085 729702 746370 1119555 1216170 1824255 2239110 3648510 112063309 224126618 336189927 560316545 672379854 1008569781 1120633090 1680949635 2017139562 3025709343 3361899270 5042848905 6051418686 10085697810 15128546715 30257093430