Search a number
-
+
34786230768 = 24322310503089
BaseRepresentation
bin100000011001011010…
…111100000111110000
310022210022102121200100
4200121122330013300
51032220233341033
623551445352400
72341015040262
oct403132740760
9108708377610
1034786230768
1113830a14053
1268a9a08700
133384b58303
14197dd81b32
15d88e06513
hex8196bc1f0

34786230768 has 60 divisors (see below), whose sum is σ = 101585886480. Its totient is φ = 11091260928.

The previous prime is 34786230749. The next prime is 34786230799. The reversal of 34786230768 is 86703268743.

34786230768 is a `hidden beast` number, since 3 + 4 + 7 + 8 + 623 + 0 + 7 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5248233 + ... + 5254856.

It is an arithmetic number, because the mean of its divisors is an integer number (1693098108).

Almost surely, 234786230768 is an apocalyptic number.

It is an amenable number.

34786230768 is an abundant number, since it is smaller than the sum of its proper divisors (66799655712).

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

34786230768 is a wasteful number, since it uses less digits than its factorization.

34786230768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10503126 (or 10503117 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 34786230768 in words is "thirty-four billion, seven hundred eighty-six million, two hundred thirty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 10503089 21006178 31509267 42012356 63018534 84024712 94527801 126037068 168049424 189055602 241571047 252074136 378111204 483142094 504148272 724713141 756222408 966284188 1449426282 1512444816 1932568376 2174139423 2898852564 3865136752 4348278846 5797705128 8696557692 11595410256 17393115384 34786230768