Search a number
-
+
34113228448 = 2513751710909
BaseRepresentation
bin11111110001010011…
…101000111010100000
310021001102001120001111
4133301103220322200
51024330441302243
623401004513104
72315233441345
oct376123507240
9107042046044
1034113228448
1113516034492
12674054b794
1332a85ac4a0
1419188347cc
15d49cb839d
hex7f14e8ea0

34113228448 has 48 divisors (see below), whose sum is σ = 72342857160. Its totient is φ = 15741029376.

The previous prime is 34113228431. The next prime is 34113228451. The reversal of 34113228448 is 84482231143.

It can be written as a sum of positive squares in 4 ways, for example, as 27334670224 + 6778558224 = 165332^2 + 82332^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34113228448.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3121618 + ... + 3132526.

Almost surely, 234113228448 is an apocalyptic number.

It is an amenable number.

34113228448 is an abundant number, since it is smaller than the sum of its proper divisors (38229628712).

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

34113228448 is a wasteful number, since it uses less digits than its factorization.

34113228448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18449 (or 18441 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The spelling of 34113228448 in words is "thirty-four billion, one hundred thirteen million, two hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 7517 10909 15034 21818 30068 43636 60136 87272 97721 120272 141817 174544 195442 240544 283634 349088 390884 567268 781768 1134536 1563536 2269072 3127072 4538144 82002953 164005906 328011812 656023624 1066038389 1312047248 2132076778 2624094496 4264153556 8528307112 17056614224 34113228448