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345116625 = 3537731801
BaseRepresentation
bin10100100100100…
…000111111010001
3220001101202000020
4110210200333101
51201322213000
654125014053
711360304630
oct2444407721
9801352006
10345116625
1116789a257
12976b4329
1356666529
1433b99517
1520471ba0
hex14920fd1

345116625 has 64 divisors (see below), whose sum is σ = 665673216. Its totient is φ = 155520000.

The previous prime is 345116593. The next prime is 345116647. The reversal of 345116625 is 526611543.

It is not a de Polignac number, because 345116625 - 25 = 345116593 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 190725 + ... + 192525.

It is an arithmetic number, because the mean of its divisors is an integer number (10401144).

Almost surely, 2345116625 is an apocalyptic number.

345116625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

345116625 is a deficient number, since it is larger than the sum of its proper divisors (320556591).

345116625 is a wasteful number, since it uses less digits than its factorization.

345116625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1889 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 345116625 is about 18577.3147952012. The cubic root of 345116625 is about 701.4369292687.

The spelling of 345116625 in words is "three hundred forty-five million, one hundred sixteen thousand, six hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 73 75 105 125 175 219 365 375 511 525 875 1095 1533 1801 1825 2555 2625 5403 5475 7665 9005 9125 12607 12775 27015 27375 37821 38325 45025 63035 63875 131473 135075 189105 191625 225125 315175 394419 657365 675375 920311 945525 1575875 1972095 2760933 3286825 4601555 4727625 9860475 13804665 16434125 23007775 49302375 69023325 115038875 345116625