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400144436 = 22172926997
BaseRepresentation
bin10111110110011…
…011100000110100
31000212221102222022
4113312123200310
51304414110221
6103412252312
712626112566
oct2766334064
91025842868
10400144436
1119596448a
12b2011098
1364b92273
143b201336
15251e14ab
hex17d9b834

400144436 has 36 divisors (see below), whose sum is σ = 768002508. Its totient is φ = 181784064.

The previous prime is 400144403. The next prime is 400144439. The reversal of 400144436 is 634441004.

It can be written as a sum of positive squares in 6 ways, for example, as 2540836 + 397603600 = 1594^2 + 19940^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400144439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53690 + ... + 60686.

It is an arithmetic number, because the mean of its divisors is an integer number (21333403).

Almost surely, 2400144436 is an apocalyptic number.

It is an amenable number.

400144436 is a deficient number, since it is larger than the sum of its proper divisors (367858072).

400144436 is a wasteful number, since it uses less digits than its factorization.

400144436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7076 (or 7045 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 400144436 is about 20003.6105740939. The cubic root of 400144436 is about 736.8949735181.

The spelling of 400144436 in words is "four hundred million, one hundred forty-four thousand, four hundred thirty-six".

Divisors: 1 2 4 17 29 34 58 68 116 493 841 986 1682 1972 3364 6997 13994 14297 27988 28594 57188 118949 202913 237898 405826 475796 811652 3449521 5884477 6899042 11768954 13798084 23537908 100036109 200072218 400144436