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3315086104 = 2311192241433
BaseRepresentation
bin1100010110011000…
…0011001100011000
322120000220211012211
43011212003030120
523242130223404
61304541444504
7145102524031
oct30546031430
98500824184
103315086104
111451309290
12786270734
1340aa64c15
142363c5a88
15146082b04
hexc5983318

3315086104 has 96 divisors (see below), whose sum is σ = 7202820240. Its totient is φ = 1418342400.

The previous prime is 3315086101. The next prime is 3315086107. The reversal of 3315086104 is 4016805133.

It is an interprime number because it is at equal distance from previous prime (3315086101) and next prime (3315086107).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3315086101) 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, 7655872 + ... + 7656304.

Almost surely, 23315086104 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 3315086104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3601410120).

3315086104 is an abundant number, since it is smaller than the sum of its proper divisors (3887734136).

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

3315086104 is a wasteful number, since it uses less digits than its factorization.

3315086104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 3315086104 is about 57576.7844187221. The cubic root of 3315086104 is about 1491.0708192168.

The spelling of 3315086104 in words is "three billion, three hundred fifteen million, eighty-six thousand, one hundred four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 241 361 418 433 482 722 836 866 964 1444 1672 1732 1928 2651 2888 3464 3971 4579 4763 5302 7942 8227 9158 9526 10604 15884 16454 18316 19052 21208 31768 32908 36632 38104 50369 65816 87001 90497 100738 104353 156313 174002 180994 201476 208706 312626 348004 361988 402952 417412 625252 696008 723976 834824 957011 1147883 1250504 1719443 1914022 1982707 2295766 3438886 3828044 3965414 4591532 6877772 7656088 7930828 9183064 13755544 15861656 21809777 37671433 43619554 75342866 87239108 150685732 174478216 301371464 414385763 828771526 1657543052 3315086104