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345006716520 = 23353192743741
BaseRepresentation
bin1010000010101000000…
…00001011011001101000
31012222112010000010010210
411001110000023121220
521123033204412040
6422254403141120
733632405463324
oct5012400133150
91188463003123
10345006716520
1112335332a594
1256a460747a0
13266c3251c0b
14129ac63c984
158e939c7480
hex505400b668

345006716520 has 64 divisors (see below), whose sum is σ = 1068407907840. Its totient is φ = 89033990400.

The previous prime is 345006716491. The next prime is 345006716543. The reversal of 345006716520 is 25617600543.

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, 46368151 + ... + 46375590.

It is an arithmetic number, because the mean of its divisors is an integer number (16693873560).

Almost surely, 2345006716520 is an apocalyptic number.

345006716520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345006716520 is an abundant number, since it is smaller than the sum of its proper divisors (723401191320).

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

345006716520 is a wasteful number, since it uses less digits than its factorization.

345006716520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92743786 (or 92743782 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 345006716520 in words is "three hundred forty-five billion, six million, seven hundred sixteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 92743741 185487482 278231223 370974964 463718705 556462446 741949928 927437410 1112924892 1391156115 1854874820 2225849784 2782312230 2875055971 3709749640 5564624460 5750111942 8625167913 11129248920 11500223884 14375279855 17250335826 23000447768 28750559710 34500671652 43125839565 57501119420 69001343304 86251679130 115002238840 172503358260 345006716520