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3364245313 = 111323759829
BaseRepresentation
bin1100100010000110…
…0100111101000001
322200110102100222021
43020201210331001
523342221322223
61313455241441
7146240420242
oct31041447501
98613370867
103364245313
111477035330
1279a819281
13417cb7700
1423cb40cc9
1514a54365d
hexc8864f41

3364245313 has 48 divisors (see below), whose sum is σ = 4155710400. Its totient is φ = 2697027840.

The previous prime is 3364245251. The next prime is 3364245319. The reversal of 3364245313 is 3135424633.

It is a de Polignac number, because none of the positive numbers 2k-3364245313 is a prime.

It is a super-2 number, since 2×33642453132 = 22636293052084935938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3364245319) 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 47 ways as a sum of consecutive naturals, for example, 4057783 + ... + 4058611.

It is an arithmetic number, because the mean of its divisors is an integer number (86577300).

Almost surely, 23364245313 is an apocalyptic number.

It is an amenable number.

3364245313 is a deficient number, since it is larger than the sum of its proper divisors (791465087).

3364245313 is a wasteful number, since it uses less digits than its factorization.

3364245313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 949 counting only the distinct ones).

The product of its digits is 77760, while the sum is 34.

The square root of 3364245313 is about 58002.1147286890. The cubic root of 3364245313 is about 1498.4050176590.

Adding to 3364245313 its reverse (3135424633), we get a palindrome (6499669946).

The spelling of 3364245313 in words is "three billion, three hundred sixty-four million, two hundred forty-five thousand, three hundred thirteen".

Divisors: 1 11 13 37 59 143 169 407 481 649 767 829 1859 2183 5291 6253 8437 9119 9971 10777 24013 28379 30673 48911 68783 109681 118547 140101 312169 337403 368927 398749 538021 635843 1541111 1809707 4058197 4386239 5183737 6994273 8265959 19906777 23526191 57021107 90925549 258788101 305840483 3364245313