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30083904 = 2632291801
BaseRepresentation
bin111001011000…
…0101101000000
32002121102100200
41302300231000
530200141104
62552445200
7513465114
oct162605500
962542320
1030083904
1115a88534
12a0a9800
136304236
143dd1744
152993b39
hex1cb0b40

30083904 has 84 divisors (see below), whose sum is σ = 89253060. Its totient is φ = 9676800.

The previous prime is 30083899. The next prime is 30083917. The reversal of 30083904 is 40938003.

It can be written as a sum of positive squares in 2 ways, for example, as 9290304 + 20793600 = 3048^2 + 4560^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15804 + ... + 17604.

Almost surely, 230083904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30083904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44626530).

30083904 is an abundant number, since it is smaller than the sum of its proper divisors (59169156).

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

30083904 is a wasteful number, since it uses less digits than its factorization.

30083904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 30083904 is about 5484.8795793527. The cubic root of 30083904 is about 311.0126578872.

The spelling of 30083904 in words is "thirty million, eighty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 288 348 464 522 576 696 928 1044 1392 1801 1856 2088 2784 3602 4176 5403 5568 7204 8352 10806 14408 16209 16704 21612 28816 32418 43224 52229 57632 64836 86448 104458 115264 129672 156687 172896 208916 259344 313374 345792 417832 470061 518688 626748 835664 940122 1037376 1253496 1671328 1880244 2506992 3342656 3760488 5013984 7520976 10027968 15041952 30083904