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330056928 = 25323073733
BaseRepresentation
bin10011101011000…
…100010011100000
3212000001121222200
4103223010103200
51133443310203
652430133200
711115303045
oct2353042340
9760047880
10330056928
1115a343723
1292651200
13534c2976
1431b991cc
151de999a3
hex13ac44e0

330056928 has 72 divisors (see below), whose sum is σ = 941908968. Its totient is φ = 109631232.

The previous prime is 330056927. The next prime is 330057019. The reversal of 330056928 is 829650033.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 330056892 and 330056901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330056927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86550 + ... + 90282.

It is an arithmetic number, because the mean of its divisors is an integer number (13082069).

Almost surely, 2330056928 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 330056928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470954484).

330056928 is an abundant number, since it is smaller than the sum of its proper divisors (611852040).

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

330056928 is a wasteful number, since it uses less digits than its factorization.

330056928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056 (or 4045 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 330056928 is about 18167.4689486455. The cubic root of 330056928 is about 691.0820577440.

The spelling of 330056928 in words is "three hundred thirty million, fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 307 614 921 1228 1842 2456 2763 3684 3733 4912 5526 7368 7466 9824 11052 11199 14736 14932 22104 22398 29472 29864 33597 44208 44796 59728 67194 88416 89592 119456 134388 179184 268776 358368 537552 1075104 1146031 2292062 3438093 4584124 6876186 9168248 10314279 13752372 18336496 20628558 27504744 36672992 41257116 55009488 82514232 110018976 165028464 330056928