Search a number
332387328 = 21037132941
BaseRepresentation
bin10011110011111…
…101010000000000
3212011110000200210
4103303331100000
51140042343303
652552114120
711144150160
oct2363752000
9764400623
10332387328
11160695579
1293395940
1353b2a5c0
14322045a0
151e2aa203
hex13cfd400

332387328 has 352 divisors, whose sum is σ = 1155490560. Its totient is φ = 82575360.

The previous prime is 332387309. The next prime is 332387359. The reversal of 332387328 is 823783233.

It is a super-2 number, since 2×3323873282 = 220962671629959168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8106988 + ... + 8107028.

Almost surely, 2332387328 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 332387328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577745280).

332387328 is an abundant number, since it is smaller than the sum of its proper divisors (823103232).

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

332387328 is a wasteful number, since it uses less digits than its factorization.

332387328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 95 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 332387328 is about 18231.4927529262. The cubic root of 332387328 is about 692.7047293999.

The spelling of 332387328 in words is "three hundred thirty-two million, three hundred eighty-seven thousand, three hundred twenty-eight".