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3364013125 = 541117107269
BaseRepresentation
bin1100100010000010…
…1100010001000101
322200102222120110201
43020200230101011
523342141410000
61313450250501
7146235432304
oct31040542105
98612876421
103364013125
111476996940
1279a726a31
13417c35b15
1423cac043b
1514a4e996a
hexc882c445

3364013125 has 80 divisors (see below), whose sum is σ = 4919175360. Its totient is φ = 2272640000.

The previous prime is 3364013123. The next prime is 3364013153. The reversal of 3364013125 is 5213104633.

It is not a de Polignac number, because 3364013125 - 21 = 3364013123 is a prime.

It is a super-2 number, since 2×33640131252 = 22633168610344531250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3364013093 and 3364013102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3364013123) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 12505491 + ... + 12505759.

It is an arithmetic number, because the mean of its divisors is an integer number (61489692).

Almost surely, 23364013125 is an apocalyptic number.

It is an amenable number.

3364013125 is a deficient number, since it is larger than the sum of its proper divisors (1555162235).

3364013125 is a wasteful number, since it uses less digits than its factorization.

3364013125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 3364013125 is about 58000.1131464414. The cubic root of 3364013125 is about 1498.3705453742.

Adding to 3364013125 its reverse (5213104633), we get a palindrome (8577117758).

The spelling of 3364013125 in words is "three billion, three hundred sixty-four million, thirteen thousand, one hundred twenty-five".

Divisors: 1 5 11 17 25 55 85 107 125 187 269 275 425 535 625 935 1177 1345 1375 1819 2125 2675 2959 4573 4675 5885 6725 6875 9095 10625 13375 14795 20009 22865 23375 28783 29425 33625 45475 50303 66875 73975 100045 114325 116875 143915 147125 168125 227375 251515 316613 369875 489311 500225 571625 719575 735625 1136875 1257575 1583065 1849375 2446555 2501125 2858125 3597875 5382421 6287875 7915325 12232775 12505625 17989375 26912105 31439375 39576625 61163875 134560525 197883125 305819375 672802625 3364013125