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540312264 = 23329777681
BaseRepresentation
bin100000001101001…
…000001011001000
31101122200201002100
4200031020023020
52101304443024
6125340433400
716250402262
oct4015101310
91348621070
10540312264
11257aa0668
12130b48860
1387c2aacb
1451a8ab32
153267c7c9
hex203482c8

540312264 has 48 divisors (see below), whose sum is σ = 1465034220. Its totient is φ = 179896320.

The previous prime is 540312259. The next prime is 540312287. The reversal of 540312264 is 462213045.

It can be written as a sum of positive squares in 2 ways, for example, as 470456100 + 69856164 = 21690^2 + 8358^2 .

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, 66504 + ... + 74184.

Almost surely, 2540312264 is an apocalyptic number.

It is an amenable number.

540312264 is an abundant number, since it is smaller than the sum of its proper divisors (924721956).

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

540312264 is a wasteful number, since it uses less digits than its factorization.

540312264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8670 (or 8663 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 540312264 is about 23244.6179577123. The cubic root of 540312264 is about 814.4822204549.

The spelling of 540312264 in words is "five hundred forty million, three hundred twelve thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 977 1954 2931 3908 5862 7681 7816 8793 11724 15362 17586 23043 23448 30724 35172 46086 61448 69129 70344 92172 138258 184344 276516 553032 7504337 15008674 22513011 30017348 45026022 60034696 67539033 90052044 135078066 180104088 270156132 540312264