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34093661 = 72832101
BaseRepresentation
bin1000001000001…
…1101001011101
32101011010201012
42002003221131
532211444121
63214425005
7562535300
oct202035135
971133635
1034093661
1118277088
12b502165
1370a9384
144756b37
152ed6c5b
hex2083a5d

34093661 has 18 divisors (see below), whose sum is σ = 40541022. Its totient is φ = 28585200.

The previous prime is 34093651. The next prime is 34093679. The reversal of 34093661 is 16639043.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 33756100 + 337561 = 5810^2 + 581^2 .

It is not a de Polignac number, because 34093661 - 210 = 34092637 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34093601) 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 17 ways as a sum of consecutive naturals, for example, 337511 + ... + 337611.

It is an arithmetic number, because the mean of its divisors is an integer number (2252279).

Almost surely, 234093661 is an apocalyptic number.

It is an amenable number.

34093661 is a deficient number, since it is larger than the sum of its proper divisors (6447361).

34093661 is an equidigital number, since it uses as much as digits as its factorization.

34093661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 34093661 is about 5838.9777358712. The cubic root of 34093661 is about 324.2583831550.

The spelling of 34093661 in words is "thirty-four million, ninety-three thousand, six hundred sixty-one".

Divisors: 1 7 49 83 101 581 707 4067 4949 6889 8383 48223 58681 337561 410767 695789 4870523 34093661