| Base | Representation |
|---|---|
| bin | 10101001100100… |
| … | …110010011100100 |
| 3 | 220210011120122100 |
| 4 | 111030212103210 |
| 5 | 1212014433124 |
| 6 | 55142132100 |
| 7 | 11545520100 |
| oct | 2514462344 |
| 9 | 823146570 |
| 10 | 355624164 |
| 11 | 172816775 |
| 12 | 9b121030 |
| 13 | 588a50cc |
| 14 | 35332900 |
| 15 | 2134a1c9 |
| hex | 153264e4 |
355624164 has 81 divisors (see below), whose sum is σ = 1048038537. Its totient is φ = 101380608.
The previous prime is 355624127. The next prime is 355624169. The reversal of 355624164 is 461426553.
The square root of 355624164 is 18858.
It is a perfect power (a square), and thus also a powerful number.
355624164 is a `hidden beast` number, since 3 + 556 + 2 + 41 + 64 = 666.
355624164 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 217326564 + 138297600 = 14742^2 + 11760^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
355624164 is strictly pandigital in base 9.
It is not an unprimeable number, because it can be changed into a prime (355624169) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 791812 + ... + 792260.
Almost surely, 2355624164 is an apocalyptic number.
355624164 is the 18858-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 355624164
355624164 is an abundant number, since it is smaller than the sum of its proper divisors (692414373).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
355624164 is a wasteful number, since it uses less digits than its factorization.
355624164 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 922 (or 461 counting only the distinct ones).
The product of its digits is 86400, while the sum is 36.
The cubic root of 355624164 is about 708.4846102858.
Multiplying 355624164 by its sum of digits (36), we get a square (12802469904 = 1131482).
355624164 divided by its sum of digits (36) gives a square (9878449 = 31432).
The spelling of 355624164 in words is "three hundred fifty-five million, six hundred twenty-four thousand, one hundred sixty-four".
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