Base | Representation |
---|---|
bin | 1111010001000… |
… | …1100010010100 |
3 | 11110111022110100 |
4 | 3310101202110 |
5 | 112343104324 |
6 | 10204254100 |
7 | 1405200600 |
oct | 364214224 |
9 | 143438410 |
10 | 64034964 |
11 | 33167464 |
12 | 19541330 |
13 | 10360716 |
14 | 870c500 |
15 | 594d4c9 |
hex | 3d11894 |
64034964 has 108 divisors (see below), whose sum is σ = 194533248. Its totient is φ = 17690400.
The previous prime is 64034941. The next prime is 64034969. The reversal of 64034964 is 46943046.
64034964 is a `hidden beast` number, since 640 + 3 + 4 + 9 + 6 + 4 = 666.
It is a super-2 number, since 2×640349642 = 8200953228962592, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (64034969) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54099 + ... + 55269.
Almost surely, 264034964 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 64034964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97266624).
64034964 is an abundant number, since it is smaller than the sum of its proper divisors (130498284).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
64034964 is a wasteful number, since it uses less digits than its factorization.
64034964 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1226 (or 1214 counting only the distinct ones).
The product of its (nonzero) digits is 62208, while the sum is 36.
The square root of 64034964 is about 8002.1849516242. The cubic root of 64034964 is about 400.0728284059.
The spelling of 64034964 in words is "sixty-four million, thirty-four thousand, nine hundred sixty-four".
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