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3114376146 = 2327196731933
BaseRepresentation
bin1011100110100001…
…1001101111010010
322001001020200220200
42321220121233102
522334240014041
61233011520030
7140114521560
oct27150315722
98031220820
103114376146
111358a90992
1272abb9016
133a82bc72b
1421789aa30
151336381b6
hexb9a19bd2

3114376146 has 96 divisors (see below), whose sum is σ = 8133939840. Its totient is φ = 841300992.

The previous prime is 3114376129. The next prime is 3114376147. The reversal of 3114376146 is 6416734113.

3114376146 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 37 + 614 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3114376146.

It is not an unprimeable number, because it can be changed into a prime (3114376147) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1610196 + ... + 1612128.

It is an arithmetic number, because the mean of its divisors is an integer number (84728540).

Almost surely, 23114376146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3114376146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4066969920).

3114376146 is an abundant number, since it is smaller than the sum of its proper divisors (5019563694).

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

3114376146 is a wasteful number, since it uses less digits than its factorization.

3114376146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 2637 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 3114376146 is about 55806.5959004847. The cubic root of 3114376146 is about 1460.3502234193.

The spelling of 3114376146 in words is "three billion, one hundred fourteen million, three hundred seventy-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 673 798 1197 1346 1933 2019 2394 3866 4038 4711 5799 6057 9422 11598 12114 12787 13531 14133 17397 25574 27062 28266 34794 36727 38361 40593 42399 73454 76722 81186 84798 89509 110181 115083 121779 179018 220362 230166 243558 257089 268527 330543 514178 537054 661086 771267 805581 1300909 1542534 1611162 2313801 2601818 3902727 4627602 7805454 9106363 11708181 18212726 23416362 24717271 27319089 49434542 54638178 74151813 81957267 148303626 163914534 173020897 222455439 346041794 444910878 519062691 1038125382 1557188073 3114376146