Base | Representation |
---|---|
bin | 10000010010001… |
… | …11111001000000 |
3 | 100112001110210100 |
4 | 20021013321000 |
5 | 234432444334 |
6 | 21320002400 |
7 | 3246105654 |
oct | 1011077100 |
9 | 315043710 |
10 | 136609344 |
11 | 70126693 |
12 | 39900400 |
13 | 223c0c41 |
14 | 14200a64 |
15 | bed6c99 |
hex | 8247e40 |
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".
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