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8354105344 = 21113224137
BaseRepresentation
bin1111100011111000…
…11000100000000000
3210120012201112010001
413301330120200000
5114102122332334
63500545245344
7414010503154
oct76174304000
923505645101
108354105344
1135a7746aa2
121751933854
13a31a05b00
14593723064
1533d645714
hex1f1f18800

8354105344 has 72 divisors (see below), whose sum is σ = 18088655130. Its totient is φ = 3855581184.

The previous prime is 8354105321. The next prime is 8354105369. The reversal of 8354105344 is 4435014538.

It can be written as a sum of positive squares in 3 ways, for example, as 5069440000 + 3284665344 = 71200^2 + 57312^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 334044 + ... + 358180.

Almost surely, 28354105344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8354105344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9044327565).

8354105344 is an abundant number, since it is smaller than the sum of its proper divisors (9734549786).

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

8354105344 is a wasteful number, since it uses less digits than its factorization.

8354105344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24185 (or 24152 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The square root of 8354105344 is about 91400.7950950100. The cubic root of 8354105344 is about 2029.0837950149.

The spelling of 8354105344 in words is "eight billion, three hundred fifty-four million, one hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1024 1352 1664 2048 2704 3328 5408 6656 10816 13312 21632 24137 26624 43264 48274 86528 96548 173056 193096 313781 346112 386192 627562 772384 1255124 1544768 2510248 3089536 4079153 5020496 6179072 8158306 10040992 12358144 16316612 20081984 24716288 32633224 40163968 49432576 65266448 80327936 130532896 160655872 261065792 321311744 522131584 642623488 1044263168 2088526336 4177052672 8354105344