Base | Representation |
---|---|
bin | 101100100101… |
… | …1001010110100 |
3 | 1121222122121200 |
4 | 1121023022310 |
5 | 21441022224 |
6 | 2153012500 |
7 | 402461151 |
oct | 131131264 |
9 | 47878550 |
10 | 23376564 |
11 | 12217182 |
12 | 79b4130 |
13 | 4ac62b3 |
14 | 3167228 |
15 | 20bb5c9 |
hex | 164b2b4 |
23376564 has 36 divisors (see below), whose sum is σ = 62568324. Its totient is φ = 7333632.
The previous prime is 23376559. The next prime is 23376583. The reversal of 23376564 is 46567332.
23376564 is a `hidden beast` number, since 23 + 3 + 76 + 564 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 13264164 + 10112400 = 3642^2 + 3180^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-3 number, since 3×233765643 (a number of 23 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18487 + ... + 19710.
It is an arithmetic number, because the mean of its divisors is an integer number (1738009).
Almost surely, 223376564 is an apocalyptic number.
It is an amenable number.
23376564 is an abundant number, since it is smaller than the sum of its proper divisors (39191760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23376564 is a wasteful number, since it uses less digits than its factorization.
23376564 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 38224 (or 38219 counting only the distinct ones).
The product of its digits is 90720, while the sum is 36.
The square root of 23376564 is about 4834.9316437774. The cubic root of 23376564 is about 285.9303300719.
The spelling of 23376564 in words is "twenty-three million, three hundred seventy-six thousand, five hundred sixty-four".
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