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30904368 = 24311217313
BaseRepresentation
bin111010111100…
…1000000110000
32011011002211020
41311321000300
530402414433
63022215440
7523453125
oct165710060
964132736
1030904368
1116498a00
12a424580
136530811
14416674c
152aa6cb3
hex1d79030

30904368 has 120 divisors (see below), whose sum is σ = 93212784. Its totient is φ = 8785920.

The previous prime is 30904337. The next prime is 30904397. The reversal of 30904368 is 86340903.

It is a super-2 number, since 2×309043682 = 1910159922958848, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98580 + ... + 98892.

Almost surely, 230904368 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 30904368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46606392).

30904368 is an abundant number, since it is smaller than the sum of its proper divisors (62308416).

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

30904368 is a wasteful number, since it uses less digits than its factorization.

30904368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 346 counting only the distinct ones).

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

The square root of 30904368 is about 5559.1697221797. The cubic root of 30904368 is about 313.8147039878.

The spelling of 30904368 in words is "thirty million, nine hundred four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 121 132 136 176 187 204 242 264 272 313 363 374 408 484 528 561 626 726 748 816 939 968 1122 1252 1452 1496 1878 1936 2057 2244 2504 2904 2992 3443 3756 4114 4488 5008 5321 5808 6171 6886 7512 8228 8976 10329 10642 12342 13772 15024 15963 16456 20658 21284 24684 27544 31926 32912 37873 41316 42568 49368 55088 58531 63852 75746 82632 85136 98736 113619 117062 127704 151492 165264 175593 227238 234124 255408 302984 351186 454476 468248 605968 643841 702372 908952 936496 1287682 1404744 1817904 1931523 2575364 2809488 3863046 5150728 7726092 10301456 15452184 30904368