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330568128 = 26341121731
BaseRepresentation
bin10011101101000…
…001000111000000
3212001000121020000
4103231001013000
51134111140003
652445120000
711122532322
oct2355010700
9761017200
10330568128
1115a662800
1292859000
1353641557
1431c8d612
151e04b1a3
hex13b411c0

330568128 has 420 divisors, whose sum is σ = 1177235136. Its totient is φ = 91238400.

The previous prime is 330568123. The next prime is 330568157. The reversal of 330568128 is 821865033.

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 = 330568092 and 330568101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330568123) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 10663473 + ... + 10663503.

Almost surely, 2330568128 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 330568128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588617568).

330568128 is an abundant number, since it is smaller than the sum of its proper divisors (846667008).

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

330568128 is a wasteful number, since it uses less digits than its factorization.

330568128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 330568128 is about 18181.5326086664. The cubic root of 330568128 is about 691.4386617969.

The spelling of 330568128 in words is "three hundred thirty million, five hundred sixty-eight thousand, one hundred twenty-eight".