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1345656564 = 22347593323
BaseRepresentation
bin101000000110101…
…0001011011110100
310110210002102210000
41100031101123310
510223442002224
6341310031300
745226614660
oct12015213364
93423072700
101345656564
1163065176a
123167a8530
13185a323b5
14caa078a0
157d20d0c9
hex503516f4

1345656564 has 60 divisors (see below), whose sum is σ = 4020363424. Its totient is φ = 384472656.

The previous prime is 1345656553. The next prime is 1345656569. The reversal of 1345656564 is 4656565431.

1345656564 is a `hidden beast` number, since 1 + 34 + 5 + 6 + 56 + 564 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345656569) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 294394 + ... + 298929.

Almost surely, 21345656564 is an apocalyptic number.

1345656564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1345656564 is an abundant number, since it is smaller than the sum of its proper divisors (2674706860).

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

1345656564 is a wasteful number, since it uses less digits than its factorization.

1345656564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593346 (or 593335 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The square root of 1345656564 is about 36683.1918458577. The cubic root of 1345656564 is about 1104.0228905934.

The spelling of 1345656564 in words is "one billion, three hundred forty-five million, six hundred fifty-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 593323 1186646 1779969 2373292 3559938 4153261 5339907 7119876 8306522 10679814 12459783 16019721 16613044 21359628 24919566 32039442 37379349 48059163 49839132 64078884 74758698 96118326 112138047 149517396 192236652 224276094 336414141 448552188 672828282 1345656564