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136609344 = 26324872
BaseRepresentation
bin10000010010001…
…11111001000000
3100112001110210100
420021013321000
5234432444334
621320002400
73246105654
oct1011077100
9315043710
10136609344
1170126693
1239900400
13223c0c41
1414200a64
15bed6c99
hex8247e40

136609344 has 63 divisors (see below), whose sum is σ = 392371707. Its totient is φ = 45442944.

The previous prime is 136609313. The next prime is 136609349. The reversal of 136609344 is 443906631.

The square root of 136609344 is 11688.

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

136609344 is a `hidden beast` number, since 1 + 3 + 6 + 609 + 3 + 44 = 666.

It is a super-2 number, since 2×1366093442 = 37324225736220672, which contains 22 as substring.

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 = 136609299 and 136609308.

It is not an unprimeable number, because it can be changed into a prime (136609349) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 280269 + ... + 280755.

Almost surely, 2136609344 is an apocalyptic number.

136609344 is the 11688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136609344

136609344 is an abundant number, since it is smaller than the sum of its proper divisors (255762363).

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

136609344 is an frugal number, since it uses more digits than its factorization.

136609344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The cubic root of 136609344 is about 515.0232106924.

Multiplying 136609344 by its sum of digits (36), we get a square (4917936384 = 701282).

136609344 divided by its sum of digits (36) gives a square (3794704 = 19482).

Multiplying 136609344 by its product of nonzero digits (46656), we get a square (6373645553664 = 25246082).

The spelling of 136609344 in words is "one hundred thirty-six million, six hundred nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 487 576 974 1461 1948 2922 3896 4383 5844 7792 8766 11688 15584 17532 23376 31168 35064 46752 70128 93504 140256 237169 280512 474338 711507 948676 1423014 1897352 2134521 2846028 3794704 4269042 5692056 7589408 8538084 11384112 15178816 17076168 22768224 34152336 45536448 68304672 136609344