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397204900 = 225219932
BaseRepresentation
bin10111101011001…
…101110110100100
31000200102002200121
4113223031312210
51303141024100
6103225251324
712562120531
oct2753156644
91020362617
10397204900
11194236a14
12b1033b44
13643a32b1
143aa77d88
1524d1051a
hex17acdda4

397204900 has 27 divisors (see below), whose sum is σ = 862367331. Its totient is φ = 158802240.

The previous prime is 397204897. The next prime is 397204901. The reversal of 397204900 is 9402793.

The square root of 397204900 is 19930.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3896676 + 393308224 = 1974^2 + 19832^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (397204901) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 198304 + ... + 200296.

Almost surely, 2397204900 is an apocalyptic number.

397204900 is the 19930-th square number.

It is an amenable number.

397204900 is an abundant number, since it is smaller than the sum of its proper divisors (465162431).

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

397204900 is an equidigital number, since it uses as much as digits as its factorization.

397204900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The cubic root of 397204900 is about 735.0860805902.

The spelling of 397204900 in words is "three hundred ninety-seven million, two hundred four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1993 3986 7972 9965 19930 39860 49825 99650 199300 3972049 7944098 15888196 19860245 39720490 79440980 99301225 198602450 397204900