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349122924 = 223276912611
BaseRepresentation
bin10100110011110…
…011000101101100
3220022221021121200
4110303303011230
51203333413144
654350525500
711436332043
oct2463630554
9808837550
10349122924
1116a086247
1298b06890
1357439c17
143451d55a
15209b3c69
hex14cf316c

349122924 has 36 divisors (see below), whose sum is σ = 883722840. Its totient is φ = 116213760.

The previous prime is 349122923. The next prime is 349122937. The reversal of 349122924 is 429221943.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (349122923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21379 + ... + 33989.

Almost surely, 2349122924 is an apocalyptic number.

It is an amenable number.

349122924 is an abundant number, since it is smaller than the sum of its proper divisors (534599916).

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

349122924 is a wasteful number, since it uses less digits than its factorization.

349122924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13390 (or 13385 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 349122924 is about 18684.8313880538. The cubic root of 349122924 is about 704.1407125541.

The spelling of 349122924 in words is "three hundred forty-nine million, one hundred twenty-two thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 769 1538 2307 3076 4614 6921 9228 12611 13842 25222 27684 37833 50444 75666 113499 151332 226998 453996 9697859 19395718 29093577 38791436 58187154 87280731 116374308 174561462 349122924