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1345653504 = 28321344927
BaseRepresentation
bin101000000110101…
…0000101100000000
310110210002021120200
41100031100230000
510223441403004
6341310005200
745226603026
oct12015205400
93423067520
101345653504
1163064a438
123167a6800
13185a30ba0
14caa06716
157d20c239
hex50350b00

1345653504 has 108 divisors (see below), whose sum is σ = 4178393856. Its totient is φ = 414038016.

The previous prime is 1345653499. The next prime is 1345653541. The reversal of 1345653504 is 4053565431.

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

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, 7489 + ... + 52415.

It is an arithmetic number, because the mean of its divisors is an integer number (38688832).

Almost surely, 21345653504 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 1345653504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089196928).

1345653504 is an abundant number, since it is smaller than the sum of its proper divisors (2832740352).

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

1345653504 is a wasteful number, since it uses less digits than its factorization.

1345653504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44962 (or 44945 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 1345653504 is about 36683.1501373587. The cubic root of 1345653504 is about 1104.0220537497.

The spelling of 1345653504 in words is "one billion, three hundred forty-five million, six hundred fifty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 14976 29952 44927 89854 134781 179708 269562 359416 404343 539124 584051 718832 808686 1078248 1168102 1437664 1617372 1752153 2156496 2336204 2875328 3234744 3504306 4312992 4672408 5256459 5750656 6469488 7008612 8625984 9344816 10512918 11501312 12938976 14017224 17251968 18689632 21025836 25877952 28034448 34503936 37379264 42051672 51755904 56068896 74758528 84103344 103511808 112137792 149517056 168206688 224275584 336413376 448551168 672826752 1345653504