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1342864512 = 273211105971
BaseRepresentation
bin101000000001010…
…0111110010000000
310110120211120210200
41100002213302000
510222233131022
6341130125200
745164105613
oct12002476200
93416746720
101342864512
1162a014a90
12315880800
131852955b2
14ca4bc17a
157cd5abac
hex500a7c80

1342864512 has 96 divisors (see below), whose sum is σ = 4215566160. Its totient is φ = 406924800.

The previous prime is 1342864477. The next prime is 1342864519. The reversal of 1342864512 is 2154682431.

It is a happy number.

1342864512 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 8 + 645 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1342864519) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40314 + ... + 65657.

Almost surely, 21342864512 is an apocalyptic number.

1342864512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1342864512 is an abundant number, since it is smaller than the sum of its proper divisors (2872701648).

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

1342864512 is a wasteful number, since it uses less digits than its factorization.

1342864512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106002 (or 105987 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 1342864512 is about 36645.1158000626. The cubic root of 1342864512 is about 1103.2587967484.

The spelling of 1342864512 in words is "one billion, three hundred forty-two million, eight hundred sixty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 12672 105971 211942 317913 423884 635826 847768 953739 1165681 1271652 1695536 1907478 2331362 2543304 3391072 3497043 3814956 4662724 5086608 6782144 6994086 7629912 9325448 10173216 10491129 13564288 13988172 15259824 18650896 20346432 20982258 27976344 30519648 37301792 40692864 41964516 55952688 61039296 74603584 83929032 111905376 122078592 149207168 167858064 223810752 335716128 447621504 671432256 1342864512