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3106740096 = 2734793793
BaseRepresentation
bin1011100100101101…
…0001011110000000
322000111212202020000
42321023101132000
522330311140341
61232140120000
7136662566205
oct27113213600
98014782200
103106740096
1113547458a9
12728536000
133a6847b65
1421686dcac
15132b2a8b6
hexb92d1780

3106740096 has 160 divisors (see below), whose sum is σ = 9365109600. Its totient is φ = 1022201856.

The previous prime is 3106740083. The next prime is 3106740121. The reversal of 3106740096 is 6900476013.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3106740096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 817176 + ... + 820968.

It is an arithmetic number, because the mean of its divisors is an integer number (58531935).

Almost surely, 23106740096 is an apocalyptic number.

3106740096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3106740096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4682554800).

3106740096 is an abundant number, since it is smaller than the sum of its proper divisors (6258369504).

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

3106740096 is an equidigital number, since it uses as much as digits as its factorization.

3106740096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3898 (or 3877 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3106740096 is about 55738.1386126232. The cubic root of 3106740096 is about 1459.1557162807.

The spelling of 3106740096 in words is "three billion, one hundred six million, seven hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 81 96 108 128 144 158 162 192 216 237 288 316 324 384 432 474 576 632 648 711 864 948 1152 1264 1296 1422 1728 1896 2133 2528 2592 2844 3456 3792 3793 4266 5056 5184 5688 6399 7584 7586 8532 10112 10368 11376 11379 12798 15168 15172 17064 22752 22758 25596 30336 30344 34128 34137 45504 45516 51192 60688 68256 68274 91008 91032 102384 102411 121376 136512 136548 182064 204768 204822 242752 273024 273096 299647 307233 364128 409536 409644 485504 546192 599294 614466 728256 819072 819288 898941 1092384 1198588 1228932 1456512 1638576 1797882 2184768 2397176 2457864 2696823 3277152 3595764 4369536 4794352 4915728 5393646 6554304 7191528 8090469 9588704 9831456 10787292 13108608 14383056 16180938 19177408 19662912 21574584 24271407 28766112 32361876 38354816 39325824 43149168 48542814 57532224 64723752 86298336 97085628 115064448 129447504 172596672 194171256 258895008 345193344 388342512 517790016 776685024 1035580032 1553370048 3106740096