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34079331 = 311131937113
BaseRepresentation
bin1000001000000…
…0001001100011
32101010102001110
42002000021203
532211014311
63214234403
7562445436
oct202001143
971112043
1034079331
1118267340
12b4b5a03
1370a29b0
14475181d
152ed28a6
hex2080263

34079331 has 64 divisors (see below), whose sum is σ = 58222080. Its totient is φ = 17418240.

The previous prime is 34079329. The next prime is 34079333. The reversal of 34079331 is 13397043.

It is an interprime number because it is at equal distance from previous prime (34079329) and next prime (34079333).

It is not a de Polignac number, because 34079331 - 21 = 34079329 is a prime.

It is a super-2 number, since 2×340793312 = 2322801602815122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34079333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 301531 + ... + 301643.

It is an arithmetic number, because the mean of its divisors is an integer number (909720).

Almost surely, 234079331 is an apocalyptic number.

34079331 is a deficient number, since it is larger than the sum of its proper divisors (24142749).

34079331 is a wasteful number, since it uses less digits than its factorization.

34079331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196.

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 34079331 is about 5837.7505085435. The cubic root of 34079331 is about 324.2129468123.

The spelling of 34079331 in words is "thirty-four million, seventy-nine thousand, three hundred thirty-one".

Divisors: 1 3 11 13 19 33 37 39 57 111 113 143 209 247 339 407 429 481 627 703 741 1221 1243 1443 1469 2109 2147 2717 3729 4181 4407 5291 6441 7733 8151 9139 12543 15873 16159 23199 23617 27417 27911 45991 48477 54353 70851 79439 83733 100529 137973 163059 238317 301587 307021 597883 873829 921063 1032707 1793649 2621487 3098121 11359777 34079331