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349842880 = 2652347533
BaseRepresentation
bin10100110110100…
…010110111000000
3220101021212012201
4110312202313000
51204024433010
654414202544
711445421042
oct2466426700
9811255181
10349842880
1116a528152
12991b3454
135762c82a
1434669a92
1520aa723a
hex14da2dc0

349842880 has 56 divisors (see below), whose sum is σ = 869301792. Its totient is φ = 133850112.

The previous prime is 349842851. The next prime is 349842887. The reversal of 349842880 is 88248943.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 349842880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349842887) by changing a digit.

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, 16407 + ... + 31126.

Almost surely, 2349842880 is an apocalyptic number.

It is an amenable number.

349842880 is an abundant number, since it is smaller than the sum of its proper divisors (519458912).

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

349842880 is a wasteful number, since it uses less digits than its factorization.

349842880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47573 (or 47563 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The square root of 349842880 is about 18704.0872538598. The cubic root of 349842880 is about 704.6244029867.

The spelling of 349842880 in words is "three hundred forty-nine million, eight hundred forty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3680 7360 47533 95066 190132 237665 380264 475330 760528 950660 1093259 1521056 1901320 2186518 3042112 3802640 4373036 5466295 7605280 8746072 10932590 15210560 17492144 21865180 34984288 43730360 69968576 87460720 174921440 349842880