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332040384 = 2634132379
BaseRepresentation
bin10011110010101…
…000100011000000
3212010210101210000
4103302220203000
51140000243014
652540440000
711141203524
oct2362504300
9763711700
10332040384
11160478945
1293249000
1353a38700
1432153d84
151e23c509
hex13ca88c0

332040384 has 210 divisors, whose sum is σ = 1068621180. Its totient is φ = 101896704.

The previous prime is 332040347. The next prime is 332040407. The reversal of 332040384 is 483040233.

It is a super-2 number, since 2×3320403842 = 220501633213734912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 875907 + ... + 876285.

Almost surely, 2332040384 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 332040384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534310590).

332040384 is an abundant number, since it is smaller than the sum of its proper divisors (736580796).

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

332040384 is a wasteful number, since it uses less digits than its factorization.

332040384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 332040384 is about 18221.9753045602. The cubic root of 332040384 is about 692.4636317444.

The spelling of 332040384 in words is "three hundred thirty-two million, forty thousand, three hundred eighty-four".