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400636434 = 23115322161
BaseRepresentation
bin10111111000010…
…011101000010010
31000220212102212110
4113320103220102
51310030331214
6103431010150
712633232152
oct2770235022
91026772773
10400636434
111961700a0
12b2209956
13650051a3
143b2cc762
152528c159
hex17e13a12

400636434 has 48 divisors (see below), whose sum is σ = 891332064. Its totient is φ = 119059200.

The previous prime is 400636429. The next prime is 400636499. The reversal of 400636434 is 434636004.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184314 + ... + 186474.

It is an arithmetic number, because the mean of its divisors is an integer number (18569418).

Almost surely, 2400636434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400636434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445666032).

400636434 is an abundant number, since it is smaller than the sum of its proper divisors (490695630).

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

400636434 is a wasteful number, since it uses less digits than its factorization.

400636434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 400636434 is about 20015.9045261512. The cubic root of 400636434 is about 737.1968664768.

The spelling of 400636434 in words is "four hundred million, six hundred thirty-six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 53 66 106 159 318 583 1166 1749 2161 2809 3498 4322 5618 6483 8427 12966 16854 23771 30899 47542 61798 71313 92697 114533 142626 185394 229066 343599 687198 1259863 2519726 3779589 6070249 7559178 12140498 18210747 36421494 66772739 133545478 200318217 400636434