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396936864 = 25321378253
BaseRepresentation
bin10111101010001…
…100011010100000
31000122220111000100
4113222030122200
51303103434424
6103215422400
712556623222
oct2752143240
91018814010
10396936864
111940735a5
12b0b24a00
136430b2ac
143aa08412
1524caadc9
hex17a8c6a0

396936864 has 36 divisors (see below), whose sum is σ = 1128790026. Its totient is φ = 132312192.

The previous prime is 396936863. The next prime is 396936887. The reversal of 396936864 is 468639693.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 396328464 + 608400 = 19908^2 + 780^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 396936864.

It is not an unprimeable number, because it can be changed into a prime (396936863) 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 5 ways as a sum of consecutive naturals, for example, 688839 + ... + 689414.

Almost surely, 2396936864 is an apocalyptic number.

It is an amenable number.

396936864 is an abundant number, since it is smaller than the sum of its proper divisors (731853162).

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

396936864 is a wasteful number, since it uses less digits than its factorization.

396936864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378269 (or 1378258 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The square root of 396936864 is about 19923.2744296714. The cubic root of 396936864 is about 734.9206967055.

It can be divided in two parts, 3969 and 36864, that multiplied together give a square (146313216 = 120962).

The spelling of 396936864 in words is "three hundred ninety-six million, nine hundred thirty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1378253 2756506 4134759 5513012 8269518 11026024 12404277 16539036 22052048 24808554 33078072 44104096 49617108 66156144 99234216 132312288 198468432 396936864