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455364 = 2232713139
BaseRepresentation
bin1101111001011000100
3212010122100
41233023010
5104032424
613432100
73604410
oct1571304
9763570
10455364
11291138
1219b630
1312c360
14bbd40
158edc9
hex6f2c4

455364 has 72 divisors (see below), whose sum is σ = 1426880. Its totient is φ = 119232.

The previous prime is 455353. The next prime is 455381. The reversal of 455364 is 463554.

455364 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 455364.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3207 + ... + 3345.

2455364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713440).

455364 is an abundant number, since it is smaller than the sum of its proper divisors (971516).

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

455364 is a wasteful number, since it uses less digits than its factorization.

455364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 164 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 455364 is about 674.8066389715. The cubic root of 455364 is about 76.9342216673.

The spelling of 455364 in words is "four hundred fifty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 139 156 182 234 252 273 278 364 417 468 546 556 819 834 973 1092 1251 1638 1668 1807 1946 2502 2919 3276 3614 3892 5004 5421 5838 7228 8757 10842 11676 12649 16263 17514 21684 25298 32526 35028 37947 50596 65052 75894 113841 151788 227682 455364