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3117036393 = 321943142293
BaseRepresentation
bin1011100111001010…
…0011001101101001
322001020020212002100
42321302203031221
522340430131033
61233144524013
7140146241442
oct27162431551
98036225070
103117036393
11135a538639
1272ba80609
133a8a11543
14217d902c9
151339b1513
hexb9ca3369

3117036393 has 24 divisors (see below), whose sum is σ = 4750462080. Its totient is φ = 1964040480.

The previous prime is 3117036389. The next prime is 3117036397. The reversal of 3117036393 is 3936307113.

3117036393 is a `hidden beast` number, since 3 + 1 + 17 + 0 + 3 + 639 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (3117036389) and next prime (3117036397).

It is not a de Polignac number, because 3117036393 - 22 = 3117036389 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3117036397) 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 23 ways as a sum of consecutive naturals, for example, 52555 + ... + 94847.

It is an arithmetic number, because the mean of its divisors is an integer number (197935920).

Almost surely, 23117036393 is an apocalyptic number.

It is an amenable number.

3117036393 is a deficient number, since it is larger than the sum of its proper divisors (1633425687).

3117036393 is a wasteful number, since it uses less digits than its factorization.

3117036393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42749 (or 42746 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 36.

The square root of 3117036393 is about 55830.4253342208. The cubic root of 3117036393 is about 1460.7659071718.

It can be divided in two parts, 311703 and 6393, that added together give a square (318096 = 5642).

The spelling of 3117036393 in words is "three billion, one hundred seventeen million, thirty-six thousand, three hundred ninety-three".

Divisors: 1 3 9 19 57 171 431 1293 3879 8189 24567 42293 73701 126879 380637 803567 2410701 7232103 18228283 54684849 164054547 346337377 1039012131 3117036393