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349149408 = 2533636973
BaseRepresentation
bin10100110011111…
…001100011100000
3220022222121221120
4110303321203200
51203340240113
654351252240
711436502206
oct2463714340
9808877846
10349149408
1116a0a4133
1298b1a080
1357448caa
1434529076
15209bba23
hex14cf98e0

349149408 has 24 divisors (see below), whose sum is σ = 916517448. Its totient is φ = 116383104.

The previous prime is 349149389. The next prime is 349149439. The reversal of 349149408 is 804941943.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 349149408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1818391 + ... + 1818582.

It is an arithmetic number, because the mean of its divisors is an integer number (38188227).

Almost surely, 2349149408 is an apocalyptic number.

It is an amenable number.

349149408 is an abundant number, since it is smaller than the sum of its proper divisors (567368040).

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

349149408 is a wasteful number, since it uses less digits than its factorization.

349149408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3636986 (or 3636978 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 349149408 is about 18685.5400778249. The cubic root of 349149408 is about 704.1585171627.

The spelling of 349149408 in words is "three hundred forty-nine million, one hundred forty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3636973 7273946 10910919 14547892 21821838 29095784 43643676 58191568 87287352 116383136 174574704 349149408