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3261421344 = 253234334351
BaseRepresentation
bin1100001001100101…
…0101011100100000
322102021221101000010
43002121111130200
523134410440334
61255343324520
7143551424016
oct30231253440
98367841003
103261421344
111423a95145
127702b0740
133cc8c571c
1422d2168b6
151414d20e9
hexc2655720

3261421344 has 96 divisors (see below), whose sum is σ = 9141479424. Its totient is φ = 1015660800.

The previous prime is 3261421337. The next prime is 3261421369. The reversal of 3261421344 is 4431241623.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 77769 + ... + 112119.

It is an arithmetic number, because the mean of its divisors is an integer number (95223744).

Almost surely, 23261421344 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 3261421344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570739712).

3261421344 is an abundant number, since it is smaller than the sum of its proper divisors (5880058080).

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

3261421344 is a wasteful number, since it uses less digits than its factorization.

3261421344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34430 (or 34422 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 3261421344 is about 57108.8552152816. The cubic root of 3261421344 is about 1482.9811689781.

Adding to 3261421344 its reverse (4431241623), we get a palindrome (7692662967).

The spelling of 3261421344 in words is "three billion, two hundred sixty-one million, four hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 43 46 48 69 86 92 96 129 138 172 184 258 276 344 368 516 552 688 736 989 1032 1104 1376 1978 2064 2208 2967 3956 4128 5934 7912 11868 15824 23736 31648 34351 47472 68702 94944 103053 137404 206106 274808 412212 549616 790073 824424 1099232 1477093 1580146 1648848 2370219 2954186 3160292 3297696 4431279 4740438 5908372 6320584 8862558 9480876 11816744 12641168 17725116 18961752 23633488 25282336 33973139 35450232 37923504 47266976 67946278 70900464 75847008 101919417 135892556 141800928 203838834 271785112 407677668 543570224 815355336 1087140448 1630710672 3261421344