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1345654680 = 233530736527
BaseRepresentation
bin101000000110101…
…0000111110011000
310110210002100012020
41100031100332120
510223441422210
6341310014440
745226606326
oct12015207630
93423070166
101345654680
11630650307
123167a7420
13185a31596
14caa06d16
157d20c770
hex50350f98

1345654680 has 64 divisors (see below), whose sum is σ = 4050224640. Its totient is φ = 357662592.

The previous prime is 1345654631. The next prime is 1345654711. The reversal of 1345654680 is 864565431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18577 + ... + 55103.

It is an arithmetic number, because the mean of its divisors is an integer number (63284760).

Almost surely, 21345654680 is an apocalyptic number.

1345654680 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 1345654680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025112320).

1345654680 is an abundant number, since it is smaller than the sum of its proper divisors (2704569960).

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

1345654680 is a wasteful number, since it uses less digits than its factorization.

1345654680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36848 (or 36844 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 1345654680 is about 36683.1661665129. The cubic root of 1345654680 is about 1104.0223753604.

The spelling of 1345654680 in words is "one billion, three hundred forty-five million, six hundred fifty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 307 614 921 1228 1535 1842 2456 3070 3684 4605 6140 7368 9210 12280 18420 36527 36840 73054 109581 146108 182635 219162 292216 365270 438324 547905 730540 876648 1095810 1461080 2191620 4383240 11213789 22427578 33641367 44855156 56068945 67282734 89710312 112137890 134565468 168206835 224275780 269130936 336413670 448551560 672827340 1345654680