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3461081496 = 2331928127011
BaseRepresentation
bin1100111001001011…
…1110100110011000
322221012122011020120
43032102332212120
524042014101441
61331234553240
7151524464415
oct31622764630
98835564216
103461081496
111516765834
12807138820
13432091122
1424b94b10c
15153cc0966
hexce4be998

3461081496 has 64 divisors (see below), whose sum is σ = 9140860800. Its totient is φ = 1089043200.

The previous prime is 3461081479. The next prime is 3461081539. The reversal of 3461081496 is 6941801643.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 114631 + ... + 141641.

It is an arithmetic number, because the mean of its divisors is an integer number (142825950).

Almost surely, 23461081496 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 3461081496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570430400).

3461081496 is an abundant number, since it is smaller than the sum of its proper divisors (5679779304).

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

3461081496 is a wasteful number, since it uses less digits than its factorization.

3461081496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27320 (or 27316 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 3461081496 is about 58830.9569529512. The cubic root of 3461081496 is about 1512.6459020603.

The spelling of 3461081496 in words is "three billion, four hundred sixty-one million, eighty-one thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 281 456 562 843 1124 1686 2248 3372 5339 6744 10678 16017 21356 27011 32034 42712 54022 64068 81033 108044 128136 162066 216088 324132 513209 648264 1026418 1539627 2052836 3079254 4105672 6158508 7590091 12317016 15180182 22770273 30360364 45540546 60720728 91081092 144211729 182162184 288423458 432635187 576846916 865270374 1153693832 1730540748 3461081496