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349535424 = 2637253701
BaseRepresentation
bin10100110101010…
…111110011000000
3220100201020110110
4110311113303000
51203440113144
654403431320
711443000500
oct2465276300
9810636413
10349535424
1116a338157
1299085540
13575528c4
14345c9a00
1520a460b9
hex14d57cc0

349535424 has 168 divisors, whose sum is σ = 1097664048. Its totient is φ = 97843200.

The previous prime is 349535399. The next prime is 349535441. The reversal of 349535424 is 424535943.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498274 + ... + 498974.

Almost surely, 2349535424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349535424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548832024).

349535424 is an abundant number, since it is smaller than the sum of its proper divisors (748128624).

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

349535424 is a wasteful number, since it uses less digits than its factorization.

349535424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 766 counting only the distinct ones).

The product of its digits is 259200, while the sum is 39.

The square root of 349535424 is about 18695.8664950304. The cubic root of 349535424 is about 704.4179250618.

The spelling of 349535424 in words is "three hundred forty-nine million, five hundred thirty-five thousand, four hundred twenty-four".