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330565632 = 2113173311
BaseRepresentation
bin10011101101000…
…000100000000000
3212001000110210120
4103231000200000
51134111100012
652445100240
711122522125
oct2355004000
9761013716
10330565632
1115a660941
1292857680
1353640387
1431c8c74c
151e04a58c
hex13b40800

330565632 has 96 divisors (see below), whose sum is σ = 889237440. Its totient is φ = 109199360.

The previous prime is 330565601. The next prime is 330565687. The reversal of 330565632 is 236565033.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 330565593 and 330565602.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1062757 + ... + 1063067.

It is an arithmetic number, because the mean of its divisors is an integer number (9262890).

Almost surely, 2330565632 is an apocalyptic number.

330565632 is a gapful number since it is divisible by the number (32) 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 330565632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444618720).

330565632 is an abundant number, since it is smaller than the sum of its proper divisors (558671808).

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

330565632 is a wasteful number, since it uses less digits than its factorization.

330565632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 33.

The square root of 330565632 is about 18181.4639674587. The cubic root of 330565632 is about 691.4369215250.

The spelling of 330565632 in words is "three hundred thirty million, five hundred sixty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 192 256 311 346 384 512 519 622 692 768 933 1024 1038 1244 1384 1536 1866 2048 2076 2488 2768 3072 3732 4152 4976 5536 6144 7464 8304 9952 11072 14928 16608 19904 22144 29856 33216 39808 44288 53803 59712 66432 79616 88576 107606 119424 132864 159232 161409 177152 215212 238848 265728 318464 322818 354304 430424 477696 531456 636928 645636 860848 955392 1062912 1291272 1721696 1910784 2582544 3443392 5165088 6886784 10330176 13773568 20660352 27547136 41320704 55094272 82641408 110188544 165282816 330565632