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3386267145 = 325174426493
BaseRepresentation
bin1100100111010110…
…0101011000001001
322201222212012020200
43021311211120021
523413341022040
61320003242413
7146625536652
oct31165453011
98658765220
103386267145
111488506698
127a6079409
1341c728191
14241a34529
1514c443630
hexc9d65609

3386267145 has 24 divisors (see below), whose sum is σ = 6214797576. Its totient is φ = 1699772928.

The previous prime is 3386267123. The next prime is 3386267147. The reversal of 3386267145 is 5417626833.

3386267145 is a `hidden beast` number, since 3 + 3 + 8 + 626 + 7 + 14 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68161536 + 3318105609 = 8256^2 + 57603^2 .

It is not a de Polignac number, because 3386267145 - 28 = 3386266889 is a prime.

It is a super-2 number, since 2×33862671452 = 22933610354612902050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3386267145.

It is not an unprimeable number, because it can be changed into a prime (3386267147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2212482 + ... + 2214011.

It is an arithmetic number, because the mean of its divisors is an integer number (258949899).

Almost surely, 23386267145 is an apocalyptic number.

It is an amenable number.

3386267145 is a deficient number, since it is larger than the sum of its proper divisors (2828530431).

3386267145 is a wasteful number, since it uses less digits than its factorization.

3386267145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4426521 (or 4426518 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 3386267145 is about 58191.6415389702. The cubic root of 3386267145 is about 1501.6673526035.

The spelling of 3386267145 in words is "three billion, three hundred eighty-six million, two hundred sixty-seven thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 4426493 13279479 22132465 39838437 66397395 75250381 199192185 225751143 376251905 677253429 1128755715 3386267145