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330485904 = 24327595557
BaseRepresentation
bin10011101100101…
…101000010010000
3212000212102102200
4103230231002100
51134101022104
652443243200
711122040520
oct2354550220
9760772380
10330485904
1115a606a51
1292819500
1353612cb8
1431c6b680
151e031b39
hex13b2d090

330485904 has 120 divisors (see below), whose sum is σ = 1075139520. Its totient is φ = 92807424.

The previous prime is 330485893. The next prime is 330485941. The reversal of 330485904 is 409584033.

330485904 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56694 + ... + 62250.

It is an arithmetic number, because the mean of its divisors is an integer number (8959496).

Almost surely, 2330485904 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 330485904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537569760).

330485904 is an abundant number, since it is smaller than the sum of its proper divisors (744653616).

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

330485904 is a wasteful number, since it uses less digits than its factorization.

330485904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5637 (or 5628 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 330485904 is about 18179.2712725235. The cubic root of 330485904 is about 691.3813286159.

The spelling of 330485904 in words is "three hundred thirty million, four hundred eighty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 59 63 72 84 112 118 126 144 168 177 236 252 336 354 413 472 504 531 708 826 944 1008 1062 1239 1416 1652 2124 2478 2832 3304 3717 4248 4956 5557 6608 7434 8496 9912 11114 14868 16671 19824 22228 29736 33342 38899 44456 50013 59472 66684 77798 88912 100026 116697 133368 155596 200052 233394 266736 311192 327863 350091 400104 466788 622384 655726 700182 800208 933576 983589 1311452 1400364 1867152 1967178 2295041 2622904 2800728 2950767 3934356 4590082 5245808 5601456 5901534 6885123 7868712 9180164 11803068 13770246 15737424 18360328 20655369 23606136 27540492 36720656 41310738 47212272 55080984 82621476 110161968 165242952 330485904