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3106534016 = 27191283449
BaseRepresentation
bin1011100100101001…
…1111001010000000
322000111111021112102
42321022133022000
522330233042031
61232131445532
7136661050325
oct27112371200
98014437472
103106534016
111354614a93
127284568a8
133a67a5111
14216818b4c
15132ad97cb
hexb929f280

3106534016 has 64 divisors (see below), whose sum is σ = 6257088000. Its totient is φ = 1536245760.

The previous prime is 3106534009. The next prime is 3106534051. The reversal of 3106534016 is 6104356013.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3106534016.

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, 6918560 + ... + 6919008.

It is an arithmetic number, because the mean of its divisors is an integer number (97767000).

Almost surely, 23106534016 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 3106534016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3128544000).

3106534016 is an abundant number, since it is smaller than the sum of its proper divisors (3150553984).

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

3106534016 is a wasteful number, since it uses less digits than its factorization.

3106534016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 3106534016 is about 55736.2899375263. The cubic root of 3106534016 is about 1459.1234520799.

The spelling of 3106534016 in words is "three billion, one hundred six million, five hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 191 283 382 449 566 764 898 1132 1528 1796 2264 3056 3592 4528 6112 7184 9056 12224 14368 18112 24448 28736 36224 54053 57472 85759 108106 127067 171518 216212 254134 343036 432424 508268 686072 864848 1016536 1372144 1729696 2033072 2744288 3459392 4066144 5488576 6918784 8132288 10977152 16264576 24269797 48539594 97079188 194158376 388316752 776633504 1553267008 3106534016