| Base | Representation |
|---|---|
| bin | 11001111000001… |
| … | …001100100000000 |
| 3 | 1010020221002100000 |
| 4 | 121320021210000 |
| 5 | 1342120242012 |
| 6 | 111025200000 |
| 7 | 13521132240 |
| oct | 3170114400 |
| 9 | 1106832300 |
| 10 | 434149632 |
| 11 | 203080054 |
| 12 | 101490000 |
| 13 | 6bc3a297 |
| 14 | 41933b20 |
| 15 | 281abddc |
| hex | 19e09900 |
434149632 has 216 divisors, whose sum is σ = 1485055936. Its totient is φ = 123918336.
The previous prime is 434149607. The next prime is 434149657. The reversal of 434149632 is 236941434.
It is a happy number.
434149632 is a `hidden beast` number, since 4 + 3 + 4 + 14 + 9 + 632 = 666.
It is an interprime number because it is at equal distance from previous prime (434149607) and next prime (434149657).
It is a tau number, because it is divible by the number of its divisors (216).
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 an alternating number because its digits alternate between even and odd.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434958 + ... + 435954.
Almost surely, 2434149632 is an apocalyptic number.
434149632 is a gapful number since it is divisible by the number (42) 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 434149632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742527968).
434149632 is an abundant number, since it is smaller than the sum of its proper divisors (1050906304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
434149632 is an frugal number, since it uses more digits than its factorization.
434149632 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1035 (or 1009 counting only the distinct ones).
The product of its digits is 62208, while the sum is 36.
The square root of 434149632 is about 20836.2576294305. The cubic root of 434149632 is about 757.2044293381.
The spelling of 434149632 in words is "four hundred thirty-four million, one hundred forty-nine thousand, six hundred thirty-two".
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