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332023128 = 23317837759
BaseRepresentation
bin10011110010100…
…100010101011000
3212010202112002220
4103302210111120
51134444220003
652540224040
711141102313
oct2362442530
9763675086
10332023128
11160466988
129323b020
1353a308b8
143214b97a
151e237353
hex13ca4558

332023128 has 32 divisors (see below), whose sum is σ = 830630400. Its totient is φ = 110598048.

The previous prime is 332023127. The next prime is 332023151. The reversal of 332023128 is 821320233.

It is a super-2 number, since 2×3320231282 = 220478715053808768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 332023098 and 332023107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332023127) 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 7 ways as a sum of consecutive naturals, for example, 38913 + ... + 46671.

It is an arithmetic number, because the mean of its divisors is an integer number (25957200).

Almost surely, 2332023128 is an apocalyptic number.

It is an amenable number.

332023128 is an abundant number, since it is smaller than the sum of its proper divisors (498607272).

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

332023128 is a wasteful number, since it uses less digits than its factorization.

332023128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9551 (or 9547 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 332023128 is about 18221.5018041873. The cubic root of 332023128 is about 692.4516358548.

The spelling of 332023128 in words is "three hundred thirty-two million, twenty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 1783 3566 5349 7132 7759 10698 14264 15518 21396 23277 31036 42792 46554 62072 93108 186216 13834297 27668594 41502891 55337188 83005782 110674376 166011564 332023128