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3086011936 = 257233716189
BaseRepresentation
bin1011011111110000…
…1100111000100000
321222001212122112101
42313330030320200
522310004340221
61230115540144
7136321445230
oct26774147040
97861778471
103086011936
111343a78497
127215ba654
133a246b187
14213bd5cc0
15130dd3d91
hexb7f0ce20

3086011936 has 96 divisors (see below), whose sum is σ = 7441701120. Its totient is φ = 1230806016.

The previous prime is 3086011897. The next prime is 3086011937. The reversal of 3086011936 is 6391106803.

3086011936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 3086011895 and 3086011904.

It is not an unprimeable number, because it can be changed into a prime (3086011937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182530 + ... + 198718.

It is an arithmetic number, because the mean of its divisors is an integer number (77517720).

Almost surely, 23086011936 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 3086011936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720850560).

3086011936 is an abundant number, since it is smaller than the sum of its proper divisors (4355689184).

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

3086011936 is a wasteful number, since it uses less digits than its factorization.

3086011936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16266 (or 16258 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 3086011936 is about 55551.8850805263. The cubic root of 3086011936 is about 1455.9033114154.

The spelling of 3086011936 in words is "three billion, eighty-six million, eleven thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 37 46 56 74 92 112 148 161 184 224 259 296 322 368 518 592 644 736 851 1036 1184 1288 1702 2072 2576 3404 4144 5152 5957 6808 8288 11914 13616 16189 23828 27232 32378 47656 64756 95312 113323 129512 190624 226646 259024 372347 453292 518048 598993 744694 906584 1197986 1489388 1813168 2395972 2606429 2978776 3626336 4192951 4791944 5212858 5957552 8385902 9583888 10425716 11915104 13776839 16771804 19167776 20851432 27553678 33543608 41702864 55107356 67087216 83405728 96437873 110214712 134174432 192875746 220429424 385751492 440858848 771502984 1543005968 3086011936