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1345816704 = 2735389743
BaseRepresentation
bin101000000110111…
…1000100010000000
310110210101120110010
41100031320202000
510224012113304
6341313304520
745231152601
oct12015704200
93423346403
101345816704
11630751011
12316865140
13185a8a25b
14caa49da8
157d240789
hex50378880

1345816704 has 128 divisors (see below), whose sum is σ = 3688156800. Its totient is φ = 434610176.

The previous prime is 1345816699. The next prime is 1345816763. The reversal of 1345816704 is 4076185431.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×13458167042 = 3622445201530847232, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1810957 + ... + 1811699.

It is an arithmetic number, because the mean of its divisors is an integer number (28813725).

Almost surely, 21345816704 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 1345816704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844078400).

1345816704 is an abundant number, since it is smaller than the sum of its proper divisors (2342340096).

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

1345816704 is an equidigital number, since it uses as much as digits as its factorization.

1345816704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 1345816704 is about 36685.3745244614. The cubic root of 1345816704 is about 1104.0666836428.

The spelling of 1345816704 in words is "one billion, three hundred forty-five million, eight hundred sixteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 89 96 106 128 159 178 192 212 267 318 356 384 424 534 636 712 743 848 1068 1272 1424 1486 1696 2136 2229 2544 2848 2972 3392 4272 4458 4717 5088 5696 5944 6784 8544 8916 9434 10176 11392 11888 14151 17088 17832 18868 20352 23776 28302 34176 35664 37736 39379 47552 56604 66127 71328 75472 78758 95104 113208 118137 132254 142656 150944 157516 198381 226416 236274 264508 285312 301888 315032 396762 452832 472548 529016 603776 630064 793524 905664 945096 1058032 1260128 1587048 1811328 1890192 2116064 2520256 3174096 3504731 3780384 4232128 5040512 6348192 7009462 7560768 8464256 10514193 12696384 14018924 15121536 21028386 25392768 28037848 42056772 56075696 84113544 112151392 168227088 224302784 336454176 448605568 672908352 1345816704