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540064314 = 23316361357
BaseRepresentation
bin100000001100001…
…011101000111010
31101122020002222000
4200030023220322
52101224024224
6125331241430
716245320346
oct4014135072
91348202860
10540064314
11257941349
12130a49276
1387b71caa
1451a24626
153262e0c9
hex2030ba3a

540064314 has 32 divisors (see below), whose sum is σ = 1207525440. Its totient is φ = 178914096.

The previous prime is 540064267. The next prime is 540064319. The reversal of 540064314 is 413460045.

540064314 is a `hidden beast` number, since 5 + 4 + 0 + 0 + 643 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (540064319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21877 + ... + 39480.

It is an arithmetic number, because the mean of its divisors is an integer number (37735170).

Almost surely, 2540064314 is an apocalyptic number.

540064314 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

540064314 is an abundant number, since it is smaller than the sum of its proper divisors (667461126).

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

540064314 is a wasteful number, since it uses less digits than its factorization.

540064314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61531 (or 61525 counting only the distinct ones).

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

The square root of 540064314 is about 23239.2838529934. The cubic root of 540064314 is about 814.3576124089.

The spelling of 540064314 in words is "five hundred forty million, sixty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 163 326 489 978 1467 2934 4401 8802 61357 122714 184071 368142 552213 1104426 1656639 3313278 10001191 20002382 30003573 60007146 90010719 180021438 270032157 540064314