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400323137 is a prime number
BaseRepresentation
bin10111110111000…
…111001001000001
31000220021112002212
4113313013021001
51304440320022
6103420151505
712630455564
oct2767071101
91026245085
10400323137
11195a76775
12b2098595
1364c256c6
143b24a4db
15252293e2
hex17dc7241

400323137 has 2 divisors, whose sum is σ = 400323138. Its totient is φ = 400323136.

The previous prime is 400323071. The next prime is 400323149. The reversal of 400323137 is 731323004.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 224070961 + 176252176 = 14969^2 + 13276^2 .

It is a cyclic number.

It is not a de Polignac number, because 400323137 - 210 = 400322113 is a prime.

It is a super-2 number, since 2×4003231372 = 320517228035041538, which contains 22 as substring.

It is a Chen prime.

It is equal to p21352613 and since 400323137 and 21352613 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (400323037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200161568 + 200161569.

It is an arithmetic number, because the mean of its divisors is an integer number (200161569).

Almost surely, 2400323137 is an apocalyptic number.

It is an amenable number.

400323137 is a deficient number, since it is larger than the sum of its proper divisors (1).

400323137 is an equidigital number, since it uses as much as digits as its factorization.

400323137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 23.

The square root of 400323137 is about 20008.0767941349. The cubic root of 400323137 is about 737.0046541390.

The spelling of 400323137 in words is "four hundred million, three hundred twenty-three thousand, one hundred thirty-seven".