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429930204 = 2231117283677
BaseRepresentation
bin11001101000000…
…011011011011100
31002221222201100220
4121220003123130
51340030231304
6110354521340
713440226554
oct3150033334
91087881326
10429930204
11200758a20
12bbb96250
136b0c0892
1441156164
1527b26ad9
hex19a036dc

429930204 has 96 divisors (see below), whose sum is σ = 1164554496. Its totient is φ = 122004480.

The previous prime is 429930199. The next prime is 429930229. The reversal of 429930204 is 402039924.

It is a super-2 number, since 2×4299302042 = 369679960622963232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 634714 + ... + 635390.

It is an arithmetic number, because the mean of its divisors is an integer number (12130776).

Almost surely, 2429930204 is an apocalyptic number.

429930204 is a gapful number since it is divisible by the number (44) 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 429930204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582277248).

429930204 is an abundant number, since it is smaller than the sum of its proper divisors (734624292).

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

429930204 is a wasteful number, since it uses less digits than its factorization.

429930204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 429930204 is about 20734.7583540296. The cubic root of 429930204 is about 754.7433912964.

The spelling of 429930204 in words is "four hundred twenty-nine million, nine hundred thirty thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 283 374 561 566 677 748 849 1122 1132 1354 1698 2031 2244 2708 3113 3396 4062 4811 6226 7447 8124 9339 9622 11509 12452 14433 14894 18678 19244 22341 23018 28866 29788 34527 37356 44682 46036 52921 57732 69054 89364 105842 126599 138108 158763 191591 211684 253198 317526 379797 383182 506396 574773 635052 759594 766364 1149546 1519188 2107501 2299092 3257047 4215002 6322503 6514094 8430004 9771141 12645006 13028188 19542282 25290012 35827517 39084564 71655034 107482551 143310068 214965102 429930204