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34406164 = 22131738921
BaseRepresentation
bin1000001100111…
…1111100010100
32101202000101101
42003033330110
532301444124
63225235444
7565306342
oct203177424
971660341
1034406164
111846a951
12b632b84
1371886a0
1447d8992
153049644
hex20cff14

34406164 has 24 divisors (see below), whose sum is σ = 68658408. Its totient is φ = 14945280.

The previous prime is 34406161. The next prime is 34406179. The reversal of 34406164 is 46160443.

It is a happy number.

34406164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 66564 + 34339600 = 258^2 + 5860^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34406161) 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 7 ways as a sum of consecutive naturals, for example, 18577 + ... + 20344.

It is an arithmetic number, because the mean of its divisors is an integer number (2860767).

Almost surely, 234406164 is an apocalyptic number.

34406164 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34406164 is a deficient number, since it is larger than the sum of its proper divisors (34252244).

34406164 is a wasteful number, since it uses less digits than its factorization.

34406164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38955 (or 38953 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 34406164 is about 5865.6767725472. The cubic root of 34406164 is about 325.2460905359.

It can be divided in two parts, 3440 and 6164, that added together give a square (9604 = 982).

The spelling of 34406164 in words is "thirty-four million, four hundred six thousand, one hundred sixty-four".

Divisors: 1 2 4 13 17 26 34 52 68 221 442 884 38921 77842 155684 505973 661657 1011946 1323314 2023892 2646628 8601541 17203082 34406164