Search a number
-
+
34691364 = 22321934993
BaseRepresentation
bin1000010001010…
…1100100100100
32102021111121100
42010111210210
532340110424
63235320100
7600605001
oct204254444
972244540
1034691364
1118645154
12b750030
137258446
1448708a8
1530a3dc9
hex2115924

34691364 has 36 divisors (see below), whose sum is σ = 88164076. Its totient is φ = 11501568.

The previous prime is 34691353. The next prime is 34691369. The reversal of 34691364 is 46319643.

It can be written as a sum of positive squares in 2 ways, for example, as 10188864 + 24502500 = 3192^2 + 4950^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34691369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4452 + ... + 9444.

Almost surely, 234691364 is an apocalyptic number.

It is an amenable number.

34691364 is an abundant number, since it is smaller than the sum of its proper divisors (53472712).

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

34691364 is a wasteful number, since it uses less digits than its factorization.

34691364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5196 (or 5191 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 34691364 is about 5889.9375208910. The cubic root of 34691364 is about 326.1422967688.

The spelling of 34691364 in words is "thirty-four million, six hundred ninety-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 193 386 579 772 1158 1737 2316 3474 4993 6948 9986 14979 19972 29958 44937 59916 89874 179748 963649 1927298 2890947 3854596 5781894 8672841 11563788 17345682 34691364