Search a number
-
+
10034264367 = 374588141
BaseRepresentation
bin10010101100001011…
…01011100100101111
3221220022020110000000
421112011223210233
5131022232424432
64335405035343
7503441561031
oct112605534457
927808213000
1010034264367
11428a098376
121b40555b53
13c3bb2644a
146b2921c51
153dadca57c
hex25616b92f

10034264367 has 16 divisors (see below), whose sum is σ = 15049105760. Its totient is φ = 6689508120.

The previous prime is 10034264353. The next prime is 10034264407. The reversal of 10034264367 is 76346243001.

It is a happy number.

10034264367 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 4 + 2 + 643 + 6 + 7 = 666.

It is not a de Polignac number, because 10034264367 - 27 = 10034264239 is a prime.

It is a super-2 number, since 2×100342643672 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034264347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2291884 + ... + 2296257.

It is an arithmetic number, because the mean of its divisors is an integer number (940569110).

Almost surely, 210034264367 is an apocalyptic number.

10034264367 is a deficient number, since it is larger than the sum of its proper divisors (5014841393).

10034264367 is an frugal number, since it uses more digits than its factorization.

10034264367 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4588162 (or 4588144 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 10034264367 in words is "ten billion, thirty-four million, two hundred sixty-four thousand, three hundred sixty-seven".

Divisors: 1 3 9 27 81 243 729 2187 4588141 13764423 41293269 123879807 371639421 1114918263 3344754789 10034264367