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349911504 = 24322429941
BaseRepresentation
bin10100110110110…
…011100111010000
3220101102100100100
4110312303213100
51204034132004
654415452400
711446125105
oct2466634720
9811370310
10349911504
1116a574768
1299227100
1357654b37
1434686aac
1520abc739
hex14db39d0

349911504 has 30 divisors (see below), whose sum is σ = 979266626. Its totient is φ = 116637120.

The previous prime is 349911487. The next prime is 349911517. The reversal of 349911504 is 405119943.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 288320400 + 61591104 = 16980^2 + 7848^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1214827 + ... + 1215114.

Almost surely, 2349911504 is an apocalyptic number.

It is an amenable number.

349911504 is an abundant number, since it is smaller than the sum of its proper divisors (629355122).

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

349911504 is a wasteful number, since it uses less digits than its factorization.

349911504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429955 (or 2429946 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 349911504 is about 18705.9216292595. The cubic root of 349911504 is about 704.6704722237.

The spelling of 349911504 in words is "three hundred forty-nine million, nine hundred eleven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2429941 4859882 7289823 9719764 14579646 19439528 21869469 29159292 38879056 43738938 58318584 87477876 116637168 174955752 349911504