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3364145316 = 2232713349783
BaseRepresentation
bin1100100010000100…
…1100100010100100
322200110020021210200
43020201030202210
523342210122231
61313453150500
7146236522560
oct31041144244
98613207720
103364145316
111476a77194
1279a78b430
13417c8103c
1423cb166a0
1514a523be6
hexc884c8a4

3364145316 has 36 divisors (see below), whose sum is σ = 9718642752. Its totient is φ = 961184304.

The previous prime is 3364145297. The next prime is 3364145329. The reversal of 3364145316 is 6135414633.

3364145316 is a `hidden beast` number, since 3 + 3 + 641 + 4 + 5 + 3 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×33641453164 (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6674640 + ... + 6675143.

Almost surely, 23364145316 is an apocalyptic number.

3364145316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3364145316 is an abundant number, since it is smaller than the sum of its proper divisors (6354497436).

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

3364145316 is a wasteful number, since it uses less digits than its factorization.

3364145316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13349800 (or 13349795 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 3364145316 is about 58001.2527106096. The cubic root of 3364145316 is about 1498.3901715864.

Adding to 3364145316 its reverse (6135414633), we get a palindrome (9499559949).

The spelling of 3364145316 in words is "three billion, three hundred sixty-four million, one hundred forty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 13349783 26699566 40049349 53399132 80098698 93448481 120148047 160197396 186896962 240296094 280345443 373793924 480592188 560690886 841036329 1121381772 1682072658 3364145316