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3105038208 = 27368311839
BaseRepresentation
bin1011100100010011…
…0001111110000000
322000101200021200010
42321010301332000
522324342210313
61232035424520
7136642250346
oct27104617600
98011607603
103105038208
111353793188
12727a55140
133a63a031c
14216549996
151328e14c3
hexb9131f80

3105038208 has 64 divisors (see below), whose sum is σ = 8260531200. Its totient is φ = 1033410048.

The previous prime is 3105038179. The next prime is 3105038257. The reversal of 3105038208 is 8028305013.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256353 + ... + 268191.

It is an arithmetic number, because the mean of its divisors is an integer number (129070800).

Almost surely, 23105038208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3105038208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4130265600).

3105038208 is an abundant number, since it is smaller than the sum of its proper divisors (5155492992).

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

3105038208 is a wasteful number, since it uses less digits than its factorization.

3105038208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12539 (or 12527 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 3105038208 is about 55722.8697035607. The cubic root of 3105038208 is about 1458.8892233092.

The spelling of 3105038208 in words is "three billion, one hundred five million, thirty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 683 1366 2049 2732 4098 5464 8196 10928 11839 16392 21856 23678 32784 35517 43712 47356 65568 71034 87424 94712 131136 142068 189424 262272 284136 378848 568272 757696 1136544 1515392 2273088 4546176 8086037 16172074 24258111 32344148 48516222 64688296 97032444 129376592 194064888 258753184 388129776 517506368 776259552 1035012736 1552519104 3105038208