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1345040680 = 235172307379
BaseRepresentation
bin101000000101011…
…1011000100101000
310110201221010221111
41100022323010220
510223312300210
6341244520104
745221441254
oct12012730450
93421833844
101345040680
11630270a75
12316550034
13185877c79
14ca8c7264
157d13a88a
hex502bb128

1345040680 has 96 divisors (see below), whose sum is σ = 3233815200. Its totient is φ = 503387136.

The previous prime is 1345040659. The next prime is 1345040693. The reversal of 1345040680 is 860405431.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3548731 + ... + 3549109.

It is an arithmetic number, because the mean of its divisors is an integer number (33685575).

Almost surely, 21345040680 is an apocalyptic number.

1345040680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345040680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616907600).

1345040680 is an abundant number, since it is smaller than the sum of its proper divisors (1888774520).

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

1345040680 is a wasteful number, since it uses less digits than its factorization.

1345040680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 1345040680 is about 36674.7962502861. The cubic root of 1345040680 is about 1103.8544340911.

The spelling of 1345040680 in words is "one billion, three hundred forty-five million, forty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 307 340 379 578 614 680 758 1156 1228 1445 1516 1535 1895 2312 2456 2890 3032 3070 3790 5219 5780 6140 6443 7580 10438 11560 12280 12886 15160 20876 25772 26095 32215 41752 51544 52190 64430 88723 104380 109531 116353 128860 177446 208760 219062 232706 257720 354892 438124 443615 465412 547655 581765 709784 876248 887230 930824 1095310 1163530 1774460 1978001 2190620 2327060 3548920 3956002 4381240 4654120 7912004 9890005 15824008 19780010 33626017 39560020 67252034 79120040 134504068 168130085 269008136 336260170 672520340 1345040680