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3430014112 = 257217128677
BaseRepresentation
bin1100110001110001…
…1101110010100000
322212001011202210201
43030130131302200
524011040422422
61324205034544
7150666432100
oct31434356240
98761152721
103430014112
111500176408
127b8855a54
13428804365
14247781200
151511d5727
hexcc71dca0

3430014112 has 72 divisors (see below), whose sum is σ = 8317488564. Its totient is φ = 1383524352.

The previous prime is 3430014109. The next prime is 3430014139. The reversal of 3430014112 is 2114100343.

It can be written as a sum of positive squares in 2 ways, for example, as 3064286736 + 365727376 = 55356^2 + 19124^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3430014112.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37683 + ... + 90994.

Almost surely, 23430014112 is an apocalyptic number.

3430014112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3430014112 is an abundant number, since it is smaller than the sum of its proper divisors (4887474452).

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

3430014112 is a wasteful number, since it uses less digits than its factorization.

3430014112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128718 (or 128703 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 3430014112 is about 58566.3223363052. The cubic root of 3430014112 is about 1508.1063512768.

Adding to 3430014112 its reverse (2114100343), we get a palindrome (5544114455).

The spelling of 3430014112 in words is "three billion, four hundred thirty million, fourteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 238 272 392 476 544 784 833 952 1568 1666 1904 3332 3808 6664 13328 26656 128677 257354 514708 900739 1029416 1801478 2058832 2187509 3602956 4117664 4375018 6305173 7205912 8750036 12610346 14411824 15312563 17500072 25220692 28823648 30625126 35000144 50441384 61250252 70000288 100882768 107187941 122500504 201765536 214375882 245001008 428751764 490002016 857503528 1715007056 3430014112