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349994688 = 2633674967
BaseRepresentation
bin10100110111000…
…111111011000000
3220101120120110020
4110313013323000
51204044312223
654421333440
711446622451
oct2467077300
9811516406
10349994688
1116a62120a
1299267280
1357683964
14346a9128
1520ad71e3
hex14dc7ec0

349994688 has 56 divisors (see below), whose sum is σ = 928737792. Its totient is φ = 116323584.

The previous prime is 349994683. The next prime is 349994699. The reversal of 349994688 is 886499943.

It is not an unprimeable number, because it can be changed into a prime (349994683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67981 + ... + 72947.

Almost surely, 2349994688 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 349994688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464368896).

349994688 is an abundant number, since it is smaller than the sum of its proper divisors (578743104).

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

349994688 is a wasteful number, since it uses less digits than its factorization.

349994688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5349 (or 5339 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 60.

The square root of 349994688 is about 18708.1449641593. The cubic root of 349994688 is about 704.7263079265.

The spelling of 349994688 in words is "three hundred forty-nine million, nine hundred ninety-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 367 734 1101 1468 2202 2936 4404 4967 5872 8808 9934 11744 14901 17616 19868 23488 29802 35232 39736 59604 70464 79472 119208 158944 238416 317888 476832 953664 1822889 3645778 5468667 7291556 10937334 14583112 21874668 29166224 43749336 58332448 87498672 116664896 174997344 349994688