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3002874317 = 411135931093
BaseRepresentation
bin1011001011111100…
…0011100111001101
321202021102211011022
42302333003213031
522122213434232
61213550003525
7134262003422
oct26277034715
97667384138
103002874317
111301053a13
126b97a65a5
1338b17c911
14206b53d49
15128960812
hexb2fc39cd

3002874317 has 16 divisors (see below), whose sum is σ = 3111414768. Its totient is φ = 2896158720.

The previous prime is 3002874313. The next prime is 3002874359. The reversal of 3002874317 is 7134782003.

It can be written as a sum of positive squares in 8 ways, for example, as 140517316 + 2862357001 = 11854^2 + 53501^2 .

It is a cyclic number.

It is not a de Polignac number, because 3002874317 - 22 = 3002874313 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3002874313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2746823 + ... + 2747915.

It is an arithmetic number, because the mean of its divisors is an integer number (194463423).

Almost surely, 23002874317 is an apocalyptic number.

It is an amenable number.

3002874317 is a deficient number, since it is larger than the sum of its proper divisors (108540451).

3002874317 is a wasteful number, since it uses less digits than its factorization.

3002874317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840.

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 3002874317 is about 54798.4882729442. The cubic root of 3002874317 is about 1442.7100324436.

The spelling of 3002874317 in words is "three billion, two million, eight hundred seventy-four thousand, three hundred seventeen".

Divisors: 1 41 113 593 1093 4633 24313 44813 67009 123509 648149 2747369 5063869 26574109 73240837 3002874317