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349748808 = 233194716319
BaseRepresentation
bin10100110110001…
…011111001001000
3220101010002011120
4110312023321020
51204013430213
654412155240
711444546553
oct2466137110
9811102146
10349748808
1116a473502
1299168b20
13575c8a76
143464369a
1520a89423
hex14d8be48

349748808 has 64 divisors (see below), whose sum is σ = 940032000. Its totient is φ = 108090432.

The previous prime is 349748801. The next prime is 349748843. The reversal of 349748808 is 808847943.

It is not an unprimeable number, because it can be changed into a prime (349748801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13273 + ... + 29591.

It is an arithmetic number, because the mean of its divisors is an integer number (14688000).

Almost surely, 2349748808 is an apocalyptic number.

349748808 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349748808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470016000).

349748808 is an abundant number, since it is smaller than the sum of its proper divisors (590283192).

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

349748808 is a wasteful number, since it uses less digits than its factorization.

349748808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16394 (or 16390 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The square root of 349748808 is about 18701.5723403141. The cubic root of 349748808 is about 704.5612399947.

The spelling of 349748808 in words is "three hundred forty-nine million, seven hundred forty-eight thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 47 57 76 94 114 141 152 188 228 282 376 456 564 893 1128 1786 2679 3572 5358 7144 10716 16319 21432 32638 48957 65276 97914 130552 195828 310061 391656 620122 766993 930183 1240244 1533986 1860366 2300979 2480488 3067972 3720732 4601958 6135944 7441464 9203916 14572867 18407832 29145734 43718601 58291468 87437202 116582936 174874404 349748808