| Base | Representation |
|---|---|
| bin | 1101101001100110… |
| … | …0100000000000000 |
| 3 | 100110100201022010000 |
| 4 | 3122121210000000 |
| 5 | 30001004243034 |
| 6 | 1403331040000 |
| 7 | 156541424556 |
| oct | 33231440000 |
| 9 | 10410638100 |
| 10 | 3664134144 |
| 11 | 1610343240 |
| 12 | 863140000 |
| 13 | 465176a18 |
| 14 | 26a8c5bd6 |
| 15 | 166a2e599 |
| hex | da664000 |
3664134144 has 300 divisors, whose sum is σ = 11989576368. Its totient is φ = 1105920000.
The previous prime is 3664134119. The next prime is 3664134169. The reversal of 3664134144 is 4414314663.
3664134144 is a `hidden beast` number, since 3 + 6 + 641 + 3 + 4 + 1 + 4 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (3664134119) and next prime (3664134169).
It is a super-2 number, since 2×36641341442 = 26851758050453225472, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a nialpdrome in base 16.
It is a junction number, because it is equal to n+sod(n) for n = 3664134099 and 3664134108.
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, 14598019 + ... + 14598269.
Almost surely, 23664134144 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 3664134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5994788184).
3664134144 is an abundant number, since it is smaller than the sum of its proper divisors (8325442224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3664134144 is an equidigital number, since it uses as much as digits as its factorization.
3664134144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 302 (or 267 counting only the distinct ones).
The product of its digits is 82944, while the sum is 36.
The square root of 3664134144 is about 60532.0918521738. The cubic root of 3664134144 is about 1541.6665693395. Note that the first 3 decimals are identical.
The spelling of 3664134144 in words is "three billion, six hundred sixty-four million, one hundred thirty-four thousand, one hundred forty-four".
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