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27394344 = 23321722381
BaseRepresentation
bin110100010000…
…0000100101000
31220112202222100
41220200010220
524003104334
62415053400
7451563615
oct150400450
956482870
1027394344
111451085a
129211260
1358a1c93
1438d150c
152611c99
hex1a20128

27394344 has 48 divisors (see below), whose sum is σ = 78560820. Its totient is φ = 8593920.

The previous prime is 27394337. The next prime is 27394387. The reversal of 27394344 is 44349372.

It can be written as a sum of positive squares in 2 ways, for example, as 26316900 + 1077444 = 5130^2 + 1038^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27394299 and 27394308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9967 + ... + 12414.

Almost surely, 227394344 is an apocalyptic number.

27394344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27394344 is an abundant number, since it is smaller than the sum of its proper divisors (51166476).

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

27394344 is a wasteful number, since it uses less digits than its factorization.

27394344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22410 (or 22403 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 27394344 is about 5233.9606418085. The cubic root of 27394344 is about 301.4534799474.

The spelling of 27394344 in words is "twenty-seven million, three hundred ninety-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 22381 44762 67143 89524 134286 179048 201429 268572 380477 402858 537144 760954 805716 1141431 1521908 1611432 2282862 3043816 3424293 4565724 6848586 9131448 13697172 27394344