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349852032 = 2732303691
BaseRepresentation
bin10100110110100…
…101000110000000
3220101022022202200
4110312211012000
51204030231112
654414313200
711445456525
oct2466450600
9811268680
10349852032
1116a534012
12991b8800
1357633a4a
143466d14c
1520aa9cdc
hex14da5180

349852032 has 48 divisors (see below), whose sum is σ = 1006738980. Its totient is φ = 116616960.

The previous prime is 349852007. The next prime is 349852033. The reversal of 349852032 is 230258943.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349852033) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 150694 + ... + 152997.

Almost surely, 2349852032 is an apocalyptic number.

349852032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

349852032 is an abundant number, since it is smaller than the sum of its proper divisors (656886948).

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

349852032 is a wasteful number, since it uses less digits than its factorization.

349852032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303711 (or 303696 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 349852032 is about 18704.3319046685. The cubic root of 349852032 is about 704.6305473319.

The spelling of 349852032 in words is "three hundred forty-nine million, eight hundred fifty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 303691 607382 911073 1214764 1822146 2429528 2733219 3644292 4859056 5466438 7288584 9718112 10932876 14577168 19436224 21865752 29154336 38872448 43731504 58308672 87463008 116617344 174926016 349852032