Base | Representation |
---|---|
bin | 1100100001010001… |
… | …1010100101100000 |
3 | 22200012221002000000 |
4 | 3020110122211200 |
5 | 23340330414401 |
6 | 1313253300000 |
7 | 146166200040 |
oct | 31024324540 |
9 | 8605832000 |
10 | 3360794976 |
11 | 1475099010 |
12 | 799634600 |
13 | 41737a0a6 |
14 | 23c4c3720 |
15 | 14a0b1186 |
hex | c851a960 |
3360794976 has 336 divisors, whose sum is σ = 12374788608. Its totient is φ = 872467200.
The previous prime is 3360794963. The next prime is 3360794977. The reversal of 3360794976 is 6794970633.
It is a tau number, because it is divible by the number of its divisors (336).
It is a super-2 number, since 2×33607949762 = 22589885741413681152, which contains 22 as substring.
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3360794977) by changing a digit.
It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1795321 + ... + 1797191.
It is an arithmetic number, because the mean of its divisors is an integer number (36829728).
Almost surely, 23360794976 is an apocalyptic number.
3360794976 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 3360794976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6187394304).
3360794976 is an abundant number, since it is smaller than the sum of its proper divisors (9013993632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3360794976 is a wasteful number, since it uses less digits than its factorization.
3360794976 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1917 (or 1894 counting only the distinct ones).
The product of its (nonzero) digits is 5143824, while the sum is 54.
The square root of 3360794976 is about 57972.3638986716. The cubic root of 3360794976 is about 1497.8925926093.
The spelling of 3360794976 in words is "three billion, three hundred sixty million, seven hundred ninety-four thousand, nine hundred seventy-six".
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