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330866928 = 24327615381
BaseRepresentation
bin10011101110001…
…010000011110000
3212001120210002200
4103232022003300
51134200220203
652455343200
711125215420
oct2356120360
9761523080
10330866928
1115a847247
1292981b00
1353717562
1431d2a480
151e0a99a3
hex13b8a0f0

330866928 has 120 divisors (see below), whose sum is σ = 1075797216. Its totient is φ = 92966400.

The previous prime is 330866927. The next prime is 330866933. The reversal of 330866928 is 829668033.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330866927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58798 + ... + 64178.

Almost surely, 2330866928 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 330866928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537898608).

330866928 is an abundant number, since it is smaller than the sum of its proper divisors (744930288).

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

330866928 is a wasteful number, since it uses less digits than its factorization.

330866928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5463 (or 5454 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 330866928 is about 18189.7478817052. The cubic root of 330866928 is about 691.6469291573.

The spelling of 330866928 in words is "three hundred thirty million, eight hundred sixty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 61 63 72 84 112 122 126 144 168 183 244 252 336 366 427 488 504 549 732 854 976 1008 1098 1281 1464 1708 2196 2562 2928 3416 3843 4392 5124 5381 6832 7686 8784 10248 10762 15372 16143 20496 21524 30744 32286 37667 43048 48429 61488 64572 75334 86096 96858 113001 129144 150668 193716 226002 258288 301336 328241 339003 387432 452004 602672 656482 678006 774864 904008 984723 1312964 1356012 1808016 1969446 2297687 2625928 2712024 2954169 3938892 4595374 5251856 5424048 5908338 6893061 7877784 9190748 11816676 13786122 15755568 18381496 20679183 23633352 27572244 36762992 41358366 47266704 55144488 82716732 110288976 165433464 330866928