Search a number
-
+
34382717832 = 23319611236077
BaseRepresentation
bin100000000001010111…
…101010001110001000
310021202012011000222210
4200001113222032020
51030403433432312
623443432545120
72325015164601
oct400127521610
9107665130883
1034382717832
1113644169891
1267b68521a0
13331c386a68
141942544da8
15d6379be3c
hex8015ea388

34382717832 has 64 divisors (see below), whose sum is σ = 91964203200. Its totient is φ = 10679696640.

The previous prime is 34382717819. The next prime is 34382717833. The reversal of 34382717832 is 23871728343.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (34382717833) 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 15 ways as a sum of consecutive naturals, for example, 590223 + ... + 645854.

It is an arithmetic number, because the mean of its divisors is an integer number (1436940675).

Almost surely, 234382717832 is an apocalyptic number.

It is an amenable number.

34382717832 is an abundant number, since it is smaller than the sum of its proper divisors (57581485368).

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

34382717832 is a wasteful number, since it uses less digits than its factorization.

34382717832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236166 (or 1236162 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 48.

The spelling of 34382717832 in words is "thirty-four billion, three hundred eighty-two million, seven hundred seventeen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 61 76 114 122 152 183 228 244 366 456 488 732 1159 1464 2318 3477 4636 6954 9272 13908 27816 1236077 2472154 3708231 4944308 7416462 9888616 14832924 23485463 29665848 46970926 70456389 75400697 93941852 140912778 150801394 187883704 226202091 281825556 301602788 452404182 563651112 603205576 904808364 1432613243 1809616728 2865226486 4297839729 5730452972 8595679458 11460905944 17191358916 34382717832