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3260145168 = 243279733343
BaseRepresentation
bin1100001001010001…
…1101111000010000
322102012112112102100
43002110131320100
523134044121133
61255300120400
7143534530260
oct30224357020
98365475370
103260145168
1114232a3355
1276b996100
133cc5698a7
1422cda37a0
1514132de13
hexc251de10

3260145168 has 120 divisors (see below), whose sum is σ = 10535103488. Its totient is φ = 921839616.

The previous prime is 3260145167. The next prime is 3260145173. The reversal of 3260145168 is 8615410623.

It is a happy number.

3260145168 is a `hidden beast` number, since 3 + 2 + 601 + 45 + 1 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3260145167) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 81105 + ... + 114447.

Almost surely, 23260145168 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 3260145168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5267551744).

3260145168 is an abundant number, since it is smaller than the sum of its proper divisors (7274958320).

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

3260145168 is a wasteful number, since it uses less digits than its factorization.

3260145168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33461 (or 33452 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3260145168 is about 57097.6809336421. The cubic root of 3260145168 is about 1482.7877163208.

The spelling of 3260145168 in words is "three billion, two hundred sixty million, one hundred forty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 97 112 126 144 168 194 252 291 336 388 504 582 679 776 873 1008 1164 1358 1552 1746 2037 2328 2716 3492 4074 4656 5432 6111 6984 8148 10864 12222 13968 16296 24444 32592 33343 48888 66686 97776 100029 133372 200058 233401 266744 300087 400116 466802 533488 600174 700203 800232 933604 1200348 1400406 1600464 1867208 2100609 2400696 2800812 3234271 3734416 4201218 4801392 5601624 6468542 8402436 9702813 11203248 12937084 16804872 19405626 22639897 25874168 29108439 33609744 38811252 45279794 51748336 58216878 67919691 77622504 90559588 116433756 135839382 155245008 181119176 203759073 232867512 271678764 362238352 407518146 465735024 543357528 815036292 1086715056 1630072584 3260145168