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3084199456 = 251318140961
BaseRepresentation
bin1011011111010101…
…0010011000100000
321221221110120021111
42313311102120200
522304023340311
61230013033104
7136300156102
oct26765223040
97857416244
103084199456
111342a4a778
12720a85794
133a1c851c0
14213883572
15130b76d21
hexb7d52620

3084199456 has 48 divisors (see below), whose sum is σ = 6575384088. Its totient is φ = 1415577600.

The previous prime is 3084199439. The next prime is 3084199463. The reversal of 3084199456 is 6549914803.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1836979600 + 1247219856 = 42860^2 + 35316^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54816 + ... + 95776.

Almost surely, 23084199456 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 3084199456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287692044).

3084199456 is an abundant number, since it is smaller than the sum of its proper divisors (3491184632).

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

3084199456 is a wasteful number, since it uses less digits than its factorization.

3084199456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41165 (or 41157 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The square root of 3084199456 is about 55535.5692867193. The cubic root of 3084199456 is about 1455.6182280063.

The spelling of 3084199456 in words is "three billion, eighty-four million, one hundred ninety-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 181 208 362 416 724 1448 2353 2896 4706 5792 9412 18824 37648 40961 75296 81922 163844 327688 532493 655376 1064986 1310752 2129972 4259944 7413941 8519888 14827882 17039776 29655764 59311528 96381233 118623056 192762466 237246112 385524932 771049864 1542099728 3084199456