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349814736 = 24322429269
BaseRepresentation
bin10100110110011…
…011111111010000
3220101020102121100
4110312123333100
51204023032421
654413424400
711445243015
oct2466337720
9811212540
10349814736
1116a508a97
129919b100
135761ca8b
143465d70c
1520a9dc26
hex14d9bfd0

349814736 has 30 divisors (see below), whose sum is σ = 978995810. Its totient is φ = 116604864.

The previous prime is 349814723. The next prime is 349814741. The reversal of 349814736 is 637418943.

It can be written as a sum of positive squares in only one way, i.e., 186486336 + 163328400 = 13656^2 + 12780^2 .

It is a junction number, because it is equal to n+sod(n) for n = 349814691 and 349814700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1214491 + ... + 1214778.

Almost surely, 2349814736 is an apocalyptic number.

349814736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

349814736 is an abundant number, since it is smaller than the sum of its proper divisors (629181074).

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

349814736 is a wasteful number, since it uses less digits than its factorization.

349814736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429283 (or 2429274 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 349814736 is about 18703.3348897997. The cubic root of 349814736 is about 704.6055073794.

The spelling of 349814736 in words is "three hundred forty-nine million, eight hundred fourteen thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2429269 4858538 7287807 9717076 14575614 19434152 21863421 29151228 38868304 43726842 58302456 87453684 116604912 174907368 349814736