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345240840 = 23357411001
BaseRepresentation
bin10100100100111…
…111010100001000
3220001122001101210
4110210333110020
51201340201330
654131413120
711361333030
oct2444772410
9801561353
10345240840
1116797460a
12977541a0
13566aac29
1433bcc8c0
15204988b0
hex1493f508

345240840 has 64 divisors (see below), whose sum is σ = 1183685760. Its totient is φ = 78912000.

The previous prime is 345240839. The next prime is 345240899. The reversal of 345240840 is 48042543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 345240798 and 345240807.

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, 204661 + ... + 206340.

It is an arithmetic number, because the mean of its divisors is an integer number (18495090).

Almost surely, 2345240840 is an apocalyptic number.

345240840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345240840 is an abundant number, since it is smaller than the sum of its proper divisors (838444920).

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

345240840 is a wasteful number, since it uses less digits than its factorization.

345240840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411022 (or 411018 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 345240840 is about 18580.6576848076. The cubic root of 345240840 is about 701.5210733240.

The spelling of 345240840 in words is "three hundred forty-five million, two hundred forty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 411001 822002 1233003 1644004 2055005 2466006 2877007 3288008 4110010 4932012 5754014 6165015 8220020 8631021 9864024 11508028 12330030 14385035 16440040 17262042 23016056 24660060 28770070 34524084 43155105 49320120 57540140 69048168 86310210 115080280 172620420 345240840