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345279840 = 2535719333
BaseRepresentation
bin10100100101001…
…000110101100000
3220001201000220020
4110211020311200
51201342423330
654132313440
711361554523
oct2445106540
9801630806
10345279840
111679a0944
1297772880
13566c28c9
1433bdcbba
15204a5210
hex14948d60

345279840 has 48 divisors (see below), whose sum is σ = 1087633008. Its totient is φ = 92074496.

The previous prime is 345279821. The next prime is 345279881. The reversal of 345279840 is 48972543.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 345279792 and 345279801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 359187 + ... + 360146.

It is an arithmetic number, because the mean of its divisors is an integer number (22659021).

Almost surely, 2345279840 is an apocalyptic number.

345279840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345279840 is an abundant number, since it is smaller than the sum of its proper divisors (742353168).

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

345279840 is a wasteful number, since it uses less digits than its factorization.

345279840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719351 (or 719343 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 345279840 is about 18581.7071336301. The cubic root of 345279840 is about 701.5474880163.

The spelling of 345279840 in words is "three hundred forty-five million, two hundred seventy-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 719333 1438666 2157999 2877332 3596665 4315998 5754664 7193330 8631996 10789995 11509328 14386660 17263992 21579990 23018656 28773320 34527984 43159980 57546640 69055968 86319960 115093280 172639920 345279840