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349564416 = 293227581
BaseRepresentation
bin10100110101011…
…110111000000000
3220100202201020020
4110311132320000
51203442030131
654404213440
711443151145
oct2465367000
9810681206
10349564416
1116a357a13
129909a280
1357562b66
14345d63cc
1520a4e996
hex14d5ee00

349564416 has 40 divisors (see below), whose sum is σ = 931265544. Its totient is φ = 116520960.

The previous prime is 349564363. The next prime is 349564447. The reversal of 349564416 is 614465943.

It is a happy number.

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 3 ways as a sum of consecutive naturals, for example, 112255 + ... + 115326.

Almost surely, 2349564416 is an apocalyptic number.

It is an amenable number.

349564416 is an abundant number, since it is smaller than the sum of its proper divisors (581701128).

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

349564416 is an equidigital number, since it uses as much as digits as its factorization.

349564416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227602 (or 227586 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 349564416 is about 18696.6418375065. The cubic root of 349564416 is about 704.4374003600.

The spelling of 349564416 in words is "three hundred forty-nine million, five hundred sixty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 227581 455162 682743 910324 1365486 1820648 2730972 3641296 5461944 7282592 10923888 14565184 21847776 29130368 43695552 58260736 87391104 116521472 174782208 349564416