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349514112 = 2735915427
BaseRepresentation
bin10100110101010…
…010100110000000
3220100200011020010
4110311102212000
51203433422422
654403144520
711442551403
oct2465224600
9810604203
10349514112
1116a323142
1299075140
1357545cac
14345c1d3a
1520a3eb0c
hex14d52980

349514112 has 64 divisors (see below), whose sum is σ = 944193600. Its totient is φ = 114522624.

The previous prime is 349514111. The next prime is 349514117. The reversal of 349514112 is 211415943.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3495141122 = 244320228974297088, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 349514112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349514111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14943 + ... + 30369.

It is an arithmetic number, because the mean of its divisors is an integer number (14753025).

Almost surely, 2349514112 is an apocalyptic number.

349514112 is a gapful number since it is divisible by the number (32) 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 349514112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472096800).

349514112 is an abundant number, since it is smaller than the sum of its proper divisors (594679488).

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

349514112 is a wasteful number, since it uses less digits than its factorization.

349514112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15503 (or 15491 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 349514112 is about 18695.2965207830. The cubic root of 349514112 is about 704.4036080961.

The spelling of 349514112 in words is "three hundred forty-nine million, five hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 354 384 472 708 944 1416 1888 2832 3776 5664 7552 11328 15427 22656 30854 46281 61708 92562 123416 185124 246832 370248 493664 740496 910193 987328 1480992 1820386 1974656 2730579 2961984 3640772 5461158 5923968 7281544 10922316 14563088 21844632 29126176 43689264 58252352 87378528 116504704 174757056 349514112