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400942332 = 2233719103271
BaseRepresentation
bin10111111001011…
…110010011111100
31000221102222111000
4113321132103330
51310120123312
6103441330300
712635645040
oct2771362374
91027388430
10400942332
111963599aa
12b2336990
13650b14ab
143b36c020
15252ecadc
hex17e5e4fc

400942332 has 192 divisors, whose sum is σ = 1267302400. Its totient is φ = 107075520.

The previous prime is 400942327. The next prime is 400942349. The reversal of 400942332 is 233249004.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 400942296 and 400942305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1479357 + ... + 1479627.

Almost surely, 2400942332 is an apocalyptic number.

400942332 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400942332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633651200).

400942332 is an abundant number, since it is smaller than the sum of its proper divisors (866360068).

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

400942332 is a wasteful number, since it uses less digits than its factorization.

400942332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 400942332 is about 20023.5444414819. The cubic root of 400942332 is about 737.3844427583.

The spelling of 400942332 in words is "four hundred million, nine hundred forty-two thousand, three hundred thirty-two".