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34872642 = 2327276767
BaseRepresentation
bin1000010100000…
…1110101000010
32102121201021100
42011001311002
532411411032
63243235230
7602261340
oct205016502
972551240
1034872642
1118759372
12b818b16
1372bcacc
1448ba990
1530dc97c
hex2141d42

34872642 has 24 divisors (see below), whose sum is σ = 86351616. Its totient is φ = 9963576.

The previous prime is 34872631. The next prime is 34872659. The reversal of 34872642 is 24627843.

34872642 is a `hidden beast` number, since 3 + 4 + 8 + 7 + 2 + 642 = 666.

It is a super-2 number, since 2×348726422 = 2432202320120328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34872597 and 34872606.

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, 138258 + ... + 138509.

It is an arithmetic number, because the mean of its divisors is an integer number (3597984).

Almost surely, 234872642 is an apocalyptic number.

34872642 is an abundant number, since it is smaller than the sum of its proper divisors (51478974).

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

34872642 is a wasteful number, since it uses less digits than its factorization.

34872642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276782 (or 276779 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 34872642 is about 5905.3062579345. The cubic root of 34872642 is about 326.7093902657.

The spelling of 34872642 in words is "thirty-four million, eight hundred seventy-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 276767 553534 830301 1660602 1937369 2490903 3874738 4981806 5812107 11624214 17436321 34872642