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34164697 = 729316189
BaseRepresentation
bin1000001001010…
…0111111011001
32101021202011011
42002110333121
532221232242
63220133521
7563252350
oct202247731
971252134
1034164697
1118315496
12b5372a1
1371027c8
144774997
152eecd17
hex2094fd9

34164697 has 32 divisors (see below), whose sum is σ = 42854400. Its totient is φ = 26611200.

The previous prime is 34164677. The next prime is 34164719. The reversal of 34164697 is 79646143.

34164697 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34164697 - 27 = 34164569 is a prime.

It is a super-2 number, since 2×341646972 = 2334453042203618, which contains 22 as substring.

34164697 is a modest number, since divided by 4697 gives 3416 as remainder.

It is not an unprimeable number, because it can be changed into a prime (34164607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383829 + ... + 383917.

It is an arithmetic number, because the mean of its divisors is an integer number (1339200).

Almost surely, 234164697 is an apocalyptic number.

It is an amenable number.

34164697 is a deficient number, since it is larger than the sum of its proper divisors (8689703).

34164697 is a wasteful number, since it uses less digits than its factorization.

34164697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217.

The product of its digits is 108864, while the sum is 40.

The square root of 34164697 is about 5845.0574847473. The cubic root of 34164697 is about 324.4834302632.

The spelling of 34164697 in words is "thirty-four million, one hundred sixty-four thousand, six hundred ninety-seven".

Divisors: 1 7 29 31 61 89 203 217 427 623 899 1769 1891 2581 2759 5429 6293 12383 13237 18067 19313 38003 54839 80011 157441 168299 383873 560077 1102087 1178093 4880671 34164697