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396340880 = 24513381097
BaseRepresentation
bin10111100111111…
…010111010010000
31000121210012110212
4113213322322100
51302430402010
6103154543252
712551561525
oct2747727220
91017705425
10396340880
111937a6851
12b0897b28
136415cc40
143a8d114c
1524bde505
hex179fae90

396340880 has 40 divisors (see below), whose sum is σ = 992379192. Its totient is φ = 146340864.

The previous prime is 396340843. The next prime is 396340909. The reversal of 396340880 is 88043693.

It can be written as a sum of positive squares in 4 ways, for example, as 3984016 + 392356864 = 1996^2 + 19808^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189509 + ... + 191588.

Almost surely, 2396340880 is an apocalyptic number.

It is an amenable number.

396340880 is an abundant number, since it is smaller than the sum of its proper divisors (596038312).

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

396340880 is a wasteful number, since it uses less digits than its factorization.

396340880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381123 (or 381117 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 396340880 is about 19908.3118319962. The cubic root of 396340880 is about 734.5526949630.

The spelling of 396340880 in words is "three hundred ninety-six million, three hundred forty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 381097 762194 1524388 1905485 3048776 3810970 4954261 6097552 7621940 9908522 15243880 19817044 24771305 30487760 39634088 49542610 79268176 99085220 198170440 396340880