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348106944 = 26315112007
BaseRepresentation
bin10100101111111…
…011000011000000
3220021000122221210
4110233323003000
51203103410234
654313050120
711424601023
oct2457730300
9807018853
10348106944
11169551999
12986b6940
1357172653
14343371ba
1520862be9
hex14bfb0c0

348106944 has 56 divisors (see below), whose sum is σ = 927209728. Its totient is φ = 115257600.

The previous prime is 348106921. The next prime is 348106949. The reversal of 348106944 is 449601843.

It is a happy number.

It is a super-2 number, since 2×3481069442 = 242356888922038272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (348106949) 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, 22989 + ... + 34995.

Almost surely, 2348106944 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 348106944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463604864).

348106944 is an abundant number, since it is smaller than the sum of its proper divisors (579102784).

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

348106944 is a wasteful number, since it uses less digits than its factorization.

348106944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12173 (or 12163 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 348106944 is about 18657.6242860660. The cubic root of 348106944 is about 703.4570107123.

The spelling of 348106944 in words is "three hundred forty-eight million, one hundred six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 151 192 302 453 604 906 1208 1812 2416 3624 4832 7248 9664 12007 14496 24014 28992 36021 48028 72042 96056 144084 192112 288168 384224 576336 768448 1152672 1813057 2305344 3626114 5439171 7252228 10878342 14504456 21756684 29008912 43513368 58017824 87026736 116035648 174053472 348106944