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345259920 = 24351438583
BaseRepresentation
bin10100100101000…
…011111110010000
3220001200000120110
4110211003332100
51201341304140
654132041320
711361442455
oct2445037620
9801600513
10345259920
11167987985
1297763240
13566b6815
1433bd582c
152049e380
hex14943f90

345259920 has 40 divisors (see below), whose sum is σ = 1070306496. Its totient is φ = 92069248.

The previous prime is 345259867. The next prime is 345259949. The reversal of 345259920 is 29952543.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 719052 + ... + 719531.

Almost surely, 2345259920 is an apocalyptic number.

345259920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345259920 is an abundant number, since it is smaller than the sum of its proper divisors (725046576).

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

345259920 is a wasteful number, since it uses less digits than its factorization.

345259920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438599 (or 1438593 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 345259920 is about 18581.1711148679. The cubic root of 345259920 is about 701.5339964527.

The spelling of 345259920 in words is "three hundred forty-five million, two hundred fifty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1438583 2877166 4315749 5754332 7192915 8631498 11508664 14385830 17262996 21578745 23017328 28771660 34525992 43157490 57543320 69051984 86314980 115086640 172629960 345259920