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8346944328 = 2334125033389
BaseRepresentation
bin1111100011000010…
…00100001101001000
3210112201020201001020
413301201010031020
5114043304204303
63500131552440
7413562566442
oct76141041510
923481221036
108346944328
1135a36a58a8
12174b45b720
13a30399518
145927bb492
1533cbcda53
hex1f1844348

8346944328 has 64 divisors (see below), whose sum is σ = 21391171200. Its totient is φ = 2712568320.

The previous prime is 8346944323. The next prime is 8346944341. The reversal of 8346944328 is 8234496438.

It is a super-2 number, since 2×83469443282 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8346944323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2461258 + ... + 2464646.

It is an arithmetic number, because the mean of its divisors is an integer number (334237050).

Almost surely, 28346944328 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 8346944328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10695585600).

8346944328 is an abundant number, since it is smaller than the sum of its proper divisors (13044226872).

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

8346944328 is a wasteful number, since it uses less digits than its factorization.

8346944328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5942 (or 5938 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 51.

The square root of 8346944328 is about 91361.6129892637. The cubic root of 8346944328 is about 2028.5038623702.

The spelling of 8346944328 in words is "eight billion, three hundred forty-six million, nine hundred forty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 2503 3389 5006 6778 7509 10012 10167 13556 15018 20024 20334 27112 30036 40668 60072 81336 102623 138949 205246 277898 307869 410492 416847 555796 615738 820984 833694 1111592 1231476 1667388 2462952 3334776 8482667 16965334 25448001 33930668 50896002 67861336 101792004 203584008 347789347 695578694 1043368041 1391157388 2086736082 2782314776 4173472164 8346944328