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3104665146 = 2331145711437
BaseRepresentation
bin1011100100001101…
…0110111000111010
322000100222022221000
42321003112320322
522324243241041
61232023425430
7136636134612
oct27103267072
98010868830
103104665146
111353558970
127278b5276
133a629c58b
1421648da42
1513286abb6
hexb90d6e3a

3104665146 has 64 divisors (see below), whose sum is σ = 7543589760. Its totient is φ = 938666880.

The previous prime is 3104665117. The next prime is 3104665147. The reversal of 3104665146 is 6415664013.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3104665146.

It is not an unprimeable number, because it can be changed into a prime (3104665147) 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 31 ways as a sum of consecutive naturals, for example, 265740 + ... + 277176.

It is an arithmetic number, because the mean of its divisors is an integer number (117868590).

Almost surely, 23104665146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3104665146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771794880).

3104665146 is an abundant number, since it is smaller than the sum of its proper divisors (4438924614).

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

3104665146 is a wasteful number, since it uses less digits than its factorization.

3104665146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11916 (or 11910 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3104665146 is about 55719.5221264504. The cubic root of 3104665146 is about 1458.8307937620.

The spelling of 3104665146 in words is "three billion, one hundred four million, six hundred sixty-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 457 594 914 1371 2742 4113 5027 8226 10054 11437 12339 15081 22874 24678 30162 34311 45243 68622 90486 102933 125807 135729 205866 251614 271458 308799 377421 617598 754842 1132263 2264526 3396789 5226709 6793578 10453418 15680127 31360254 47040381 57493799 94080762 114987598 141121143 172481397 282242286 344962794 517444191 1034888382 1552332573 3104665146