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6434344056 = 2337222724103
BaseRepresentation
bin1011111111000010…
…00100110001111000
3121121102100112201010
411333201010301320
5101134143002211
62542250153520
7315310010400
oct57741046170
917542315633
106434344056
112802023a18
1212b6a228a0
137b707369a
14450793800
15279d324a6
hex17f844c78

6434344056 has 96 divisors (see below), whose sum is σ = 18795335040. Its totient is φ = 1830209472.

The previous prime is 6434344051. The next prime is 6434344069. The reversal of 6434344056 is 6504434346.

It is a super-2 number, since 2×64343440562 = 82801566861965062272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6434344051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254901 + ... + 279003.

It is an arithmetic number, because the mean of its divisors is an integer number (195784740).

Almost surely, 26434344056 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 6434344056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9397667520).

6434344056 is an abundant number, since it is smaller than the sum of its proper divisors (12360990984).

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

6434344056 is a wasteful number, since it uses less digits than its factorization.

6434344056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24353 (or 24342 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

The square root of 6434344056 is about 80214.3631527422. The cubic root of 6434344056 is about 1859.9506727582.

The spelling of 6434344056 in words is "six billion, four hundred thirty-four million, three hundred forty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 227 294 392 454 588 681 908 1176 1362 1589 1816 2724 3178 4767 5448 6356 9534 11123 12712 19068 22246 24103 33369 38136 44492 48206 66738 72309 88984 96412 133476 144618 168721 192824 266952 289236 337442 506163 578472 674884 1012326 1181047 1349768 2024652 2362094 3543141 4049304 4724188 5471381 7086282 9448376 10942762 14172564 16414143 21885524 28345128 32828286 38299667 43771048 65656572 76599334 114899001 131313144 153198668 229798002 268097669 306397336 459596004 536195338 804293007 919192008 1072390676 1608586014 2144781352 3217172028 6434344056