Search a number
-
+
456345156 = 2231072931213
BaseRepresentation
bin11011001100110…
…100011001000100
31011210200201212110
4123030310121010
51413311021111
6113141021020
714210604231
oct3314643104
91153621773
10456345156
1121465a963
121089b4770
137370bb27
1444870788
152a0e35a6
hex1b334644

456345156 has 48 divisors (see below), whose sum is σ = 1079313984. Its totient is φ = 150055296.

The previous prime is 456345151. The next prime is 456345157. The reversal of 456345156 is 651543654.

It is not an unprimeable number, because it can be changed into a prime (456345151) 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 15 ways as a sum of consecutive naturals, for example, 375606 + ... + 376818.

It is an arithmetic number, because the mean of its divisors is an integer number (22485708).

Almost surely, 2456345156 is an apocalyptic number.

It is an amenable number.

456345156 is an abundant number, since it is smaller than the sum of its proper divisors (622968828).

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

456345156 is a wasteful number, since it uses less digits than its factorization.

456345156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1618 counting only the distinct ones).

The product of its digits is 216000, while the sum is 39.

The square root of 456345156 is about 21362.2366806475. The cubic root of 456345156 is about 769.8943780462.

The spelling of 456345156 in words is "four hundred fifty-six million, three hundred forty-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 12 107 214 293 321 428 586 642 879 1172 1213 1284 1758 2426 3516 3639 4852 7278 14556 31351 62702 94053 125404 129791 188106 259582 355409 376212 389373 519164 710818 778746 1066227 1421636 1557492 2132454 4264908 38028763 76057526 114086289 152115052 228172578 456345156