Search a number
-
+
34325466452343 = 3311967119518057
BaseRepresentation
bin1111100111000000001010…
…01111000001000101110111
311111112111000202221022022000
413303200011033001011313
513444342023402433333
6201000522424510343
710141635025530513
oct763400517010567
9144474022838260
1034325466452343
11aa34391a49550
123a2460931b3b3
13161cb5410a1a1
1486950bb17143
153e7d3e053713
hex1f38053c1177

34325466452343 has 32 divisors (see below), whose sum is σ = 55532870469120. Its totient is φ = 20781799577280.

The previous prime is 34325466452279. The next prime is 34325466452363.

It is a happy number.

34325466452343 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 54 + 6 + 64 + 523 + 4 + 3 = 666.

34325466452343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34325466452343 - 26 = 34325466452279 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34325466452343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34325466452363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59471830 + ... + 60046227.

It is an arithmetic number, because the mean of its divisors is an integer number (1735402202160).

Almost surely, 234325466452343 is an apocalyptic number.

34325466452343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34325466452343 is a deficient number, since it is larger than the sum of its proper divisors (21207404016777).

34325466452343 is a wasteful number, since it uses less digits than its factorization.

34325466452343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119519044 (or 119519038 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 54.

It can be divided in two parts, 3432546 and 6452343, that added together give a palindrome (9884889).

The spelling of 34325466452343 in words is "thirty-four trillion, three hundred twenty-five billion, four hundred sixty-six million, four hundred fifty-two thousand, three hundred forty-three".

Divisors: 1 3 9 11 27 33 99 297 967 2901 8703 10637 26109 31911 95733 287199 119518057 358554171 1075662513 1314698627 3226987539 3944095881 11832287643 35496862929 115573961119 346721883357 1040165650071 1271313572309 3120496950213 3813940716927 11441822150781 34325466452343