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465345012 = 22311171311583
BaseRepresentation
bin11011101111001…
…001100111110100
31012102121222100110
4123233021213310
51423112020022
6114101543020
714350236666
oct3357114764
91172558313
10465345012
11219747660
1210ba14a70
13755403a2
1445b34536
152acc000c
hex1bbc99f4

465345012 has 96 divisors (see below), whose sum is σ = 1264564224. Its totient is φ = 131622400.

The previous prime is 465344989. The next prime is 465345019. The reversal of 465345012 is 210543564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465345019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293173 + ... + 294755.

It is an arithmetic number, because the mean of its divisors is an integer number (13172544).

Almost surely, 2465345012 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 465345012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632282112).

465345012 is an abundant number, since it is smaller than the sum of its proper divisors (799219212).

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

465345012 is a wasteful number, since it uses less digits than its factorization.

465345012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 465345012 is about 21571.8569437126. The cubic root of 465345012 is about 774.9226489571.

Adding to 465345012 its reverse (210543564), we get a palindrome (675888576).

The spelling of 465345012 in words is "four hundred sixty-five million, three hundred forty-five thousand, twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 131 132 187 204 262 374 393 524 561 748 786 1122 1441 1572 1583 2227 2244 2882 3166 4323 4454 4749 5764 6332 6681 8646 8908 9498 13362 17292 17413 18996 24497 26724 26911 34826 48994 52239 53822 69652 73491 80733 97988 104478 107644 146982 161466 207373 208956 293964 296021 322932 414746 592042 622119 829492 888063 1184084 1244238 1776126 2281103 2488476 3525341 3552252 4562206 6843309 7050682 9124412 10576023 13686618 14101364 21152046 27373236 38778751 42304092 77557502 116336253 155115004 232672506 465345012