Search a number
-
+
34241132757 = 313267536751
BaseRepresentation
bin11111111000111011…
…100011100011010101
310021101022201202210010
4133320323203203111
51030111212222012
623421414150433
72321345553246
oct377073434325
9107338652703
1034241132757
1113581254927
126777352419
1332c8c43100
14192b80accd
15d56130c3c
hex7f8ee38d5

34241132757 has 12 divisors (see below), whose sum is σ = 49436902464. Its totient is φ = 21071466000.

The previous prime is 34241132711. The next prime is 34241132773. The reversal of 34241132757 is 75723114243.

It is not a de Polignac number, because 34241132757 - 211 = 34241130709 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34241132707) 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, 33767869 + ... + 33768882.

It is an arithmetic number, because the mean of its divisors is an integer number (4119741872).

Almost surely, 234241132757 is an apocalyptic number.

It is an amenable number.

34241132757 is a deficient number, since it is larger than the sum of its proper divisors (15195769707).

34241132757 is a wasteful number, since it uses less digits than its factorization.

34241132757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67536780 (or 67536767 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The spelling of 34241132757 in words is "thirty-four billion, two hundred forty-one million, one hundred thirty-two thousand, seven hundred fifty-seven".

Divisors: 1 3 13 39 169 507 67536751 202610253 877977763 2633933289 11413710919 34241132757