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1364134912 = 2107231877
BaseRepresentation
bin101000101001111…
…0000110000000000
310112001212020022021
41101103300300000
510243204304122
6343210051224
745542645500
oct12123606000
93461766267
101364134912
11640022828
12320a19b14
1318980202a
14cd257a00
157eb5d1c7
hex514f0c00

1364134912 has 132 divisors (see below), whose sum is σ = 3278213184. Its totient is φ = 565125120.

The previous prime is 1364134901. The next prime is 1364134913. The reversal of 1364134912 is 2194314631.

It is not an unprimeable number, because it can be changed into a prime (1364134913) 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, 1555018 + ... + 1555894.

Almost surely, 21364134912 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 1364134912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639106592).

1364134912 is an abundant number, since it is smaller than the sum of its proper divisors (1914078272).

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

1364134912 is an equidigital number, since it uses as much as digits as its factorization.

1364134912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 917 counting only the distinct ones).

The product of its digits is 15552, while the sum is 34.

The square root of 1364134912 is about 36934.1970536791. The cubic root of 1364134912 is about 1109.0533584218.

The spelling of 1364134912 in words is "one billion, three hundred sixty-four million, one hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 128 196 217 224 248 256 392 434 448 496 512 784 868 877 896 992 1024 1519 1568 1736 1754 1792 1984 3038 3136 3472 3508 3584 3968 6076 6139 6272 6944 7016 7168 7936 12152 12278 12544 13888 14032 15872 24304 24556 25088 27187 27776 28064 31744 42973 48608 49112 50176 54374 55552 56128 85946 97216 98224 108748 111104 112256 171892 190309 194432 196448 217496 222208 224512 343784 380618 388864 392896 434992 449024 687568 761236 777728 785792 869984 898048 1332163 1375136 1522472 1555456 1571584 1739968 2664326 2750272 3044944 3143168 3479936 5328652 5500544 6089888 6286336 6959872 10657304 11001088 12179776 13919744 21314608 22002176 24359552 27839488 42629216 44004352 48719104 85258432 97438208 170516864 194876416 341033728 682067456 1364134912