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349799880 = 233519153421
BaseRepresentation
bin10100110110011…
…000010111001000
3220101012200020010
4110312120113020
51204022044010
654413231520
711445151503
oct2466302710
9811180203
10349799880
1116a4a8911
12991925a0
13576160a1
143465813a
1520a99620
hex14d985c8

349799880 has 64 divisors (see below), whose sum is σ = 1104638400. Its totient is φ = 88369920.

The previous prime is 349799869. The next prime is 349799909. The reversal of 349799880 is 88997943.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 349799880.

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, 74431 + ... + 78990.

It is an arithmetic number, because the mean of its divisors is an integer number (17259975).

Almost surely, 2349799880 is an apocalyptic number.

349799880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349799880 is an abundant number, since it is smaller than the sum of its proper divisors (754838520).

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

349799880 is a wasteful number, since it uses less digits than its factorization.

349799880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153454 (or 153450 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The square root of 349799880 is about 18702.9377371578. The cubic root of 349799880 is about 704.5955327971.

The spelling of 349799880 in words is "three hundred forty-nine million, seven hundred ninety-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 153421 306842 460263 613684 767105 920526 1227368 1534210 1841052 2301315 2914999 3068420 3682104 4602630 5829998 6136840 8744997 9205260 11659996 14574995 17489994 18410520 23319992 29149990 34979988 43724985 58299980 69959976 87449970 116599960 174899940 349799880