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345117360 = 24357205427
BaseRepresentation
bin10100100100100…
…001001010110000
3220001101210000110
4110210201022300
51201322223420
654125021320
711360310030
oct2444411260
9801353013
10345117360
1116789a865
12976b4840
1356666973
1433b998c0
1520471ee0
hex149212b0

345117360 has 80 divisors (see below), whose sum is σ = 1222707456. Its totient is φ = 78883584.

The previous prime is 345117317. The next prime is 345117379. The reversal of 345117360 is 63711543.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101034 + ... + 104393.

Almost surely, 2345117360 is an apocalyptic number.

345117360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345117360 is an abundant number, since it is smaller than the sum of its proper divisors (877590096).

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

345117360 is a wasteful number, since it uses less digits than its factorization.

345117360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205450 (or 205444 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 345117360 is about 18577.3345773822. The cubic root of 345117360 is about 701.4374272219.

The spelling of 345117360 in words is "three hundred forty-five million, one hundred seventeen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 205427 410854 616281 821708 1027135 1232562 1437989 1643416 2054270 2465124 2875978 3081405 3286832 4108540 4313967 4930248 5751956 6162810 7189945 8217080 8627934 9860496 11503912 12325620 14379890 16434160 17255868 21569835 23007824 24651240 28759780 34511736 43139670 49302480 57519560 69023472 86279340 115039120 172558680 345117360