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6344149380 = 22353118231871
BaseRepresentation
bin1011110100010010…
…00000100110000100
3121101010122011212120
411322021000212010
5100443100240010
62525305045540
7313133244222
oct57211004604
917333564776
106344149380
11276611a368
1212907868b0
137a1483c5a
144427d5b12
15271e67e70
hex17a240984

6344149380 has 96 divisors (see below), whose sum is σ = 18356502528. Its totient is φ = 1635427200.

The previous prime is 6344149379. The next prime is 6344149393. The reversal of 6344149380 is 839414436.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3389845 + ... + 3391715.

It is an arithmetic number, because the mean of its divisors is an integer number (191213568).

Almost surely, 26344149380 is an apocalyptic number.

6344149380 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6344149380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9178251264).

6344149380 is an abundant number, since it is smaller than the sum of its proper divisors (12012353148).

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

6344149380 is a wasteful number, since it uses less digits than its factorization.

6344149380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3737 (or 3735 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 6344149380 is about 79650.1687380510. The cubic root of 6344149380 is about 1851.2190047276.

The spelling of 6344149380 in words is "six billion, three hundred forty-four million, one hundred forty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1823 1860 1871 3646 3742 5469 5613 7292 7484 9115 9355 10938 11226 18230 18710 21876 22452 27345 28065 36460 37420 54690 56130 56513 58001 109380 112260 113026 116002 169539 174003 226052 232004 282565 290005 339078 348006 565130 580010 678156 696012 847695 870015 1130260 1160020 1695390 1740030 3390780 3410833 3480060 6821666 10232499 13643332 17054165 20464998 34108330 40929996 51162495 68216660 102324990 105735823 204649980 211471646 317207469 422943292 528679115 634414938 1057358230 1268829876 1586037345 2114716460 3172074690 6344149380