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349134336 = 293275767
BaseRepresentation
bin10100110011110…
…101111000000000
3220022221212021100
4110303311320000
51203334244321
654351054400
711436410235
oct2463657000
9808855240
10349134336
1116a093881
1298b11400
1357442185
143452378c
15209b7326
hex14cf5e00

349134336 has 60 divisors (see below), whose sum is σ = 1007638632. Its totient is φ = 116376576.

The previous prime is 349134301. The next prime is 349134347. The reversal of 349134336 is 633431943.

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 a self number, because there is not a number n which added to its sum of digits gives 349134336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33276 + ... + 42491.

Almost surely, 2349134336 is an apocalyptic number.

349134336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

349134336 is an abundant number, since it is smaller than the sum of its proper divisors (658504296).

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

349134336 is an equidigital number, since it uses as much as digits as its factorization.

349134336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75791 (or 75772 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 349134336 is about 18685.1367669600. The cubic root of 349134336 is about 704.1483847002.

The spelling of 349134336 in words is "three hundred forty-nine million, one hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 75767 151534 227301 303068 454602 606136 681903 909204 1212272 1363806 1818408 2424544 2727612 3636816 4849088 5455224 7273632 9698176 10910448 14547264 19396352 21820896 29094528 38792704 43641792 58189056 87283584 116378112 174567168 349134336