Base | Representation |
---|---|
bin | 11001111001111… |
… | …101010010011100 |
3 | 1010021211011120000 |
4 | 121321331102130 |
5 | 1342230424034 |
6 | 111043254300 |
7 | 13525145220 |
oct | 3171752234 |
9 | 1107734500 |
10 | 434623644 |
11 | 2033741a4 |
12 | 10167a390 |
13 | 6c074c70 |
14 | 41a18780 |
15 | 28252599 |
hex | 19e7d49c |
434623644 has 120 divisors (see below), whose sum is σ = 1398485088. Its totient is φ = 114618240.
The previous prime is 434623639. The next prime is 434623669. The reversal of 434623644 is 446326434.
434623644 is a `hidden beast` number, since 4 + 3 + 4 + 6 + 2 + 3 + 644 = 666.
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.
It is a junction number, because it is equal to n+sod(n) for n = 434623599 and 434623608.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22114 + ... + 36854.
Almost surely, 2434623644 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 434623644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699242544).
434623644 is an abundant number, since it is smaller than the sum of its proper divisors (963861444).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
434623644 is a wasteful number, since it uses less digits than its factorization.
434623644 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14777 (or 14766 counting only the distinct ones).
The product of its digits is 165888, while the sum is 36.
The square root of 434623644 is about 20847.6292177312. The cubic root of 434623644 is about 757.4799053585.
The spelling of 434623644 in words is "four hundred thirty-four million, six hundred twenty-three thousand, six hundred forty-four".
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