Base | Representation |
---|---|
bin | 10100010011110… |
… | …000110001100000 |
3 | 212202010121121020 |
4 | 110103300301200 |
5 | 1144211143312 |
6 | 53450525440 |
7 | 11305053600 |
oct | 2423606140 |
9 | 782117536 |
10 | 340724832 |
11 | 16536a678 |
12 | 96136880 |
13 | 55789536 |
14 | 33374c00 |
15 | 1eda578c |
hex | 144f0c60 |
340724832 has 144 divisors (see below), whose sum is σ = 1051272432. Its totient is φ = 96337920.
The previous prime is 340724821. The next prime is 340724837. The reversal of 340724832 is 238427043.
It is a super-2 number, since 2×3407248322 = 232186822282856448, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 340724793 and 340724802.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (340724837) 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 23 ways as a sum of consecutive naturals, for example, 531232 + ... + 531872.
It is an arithmetic number, because the mean of its divisors is an integer number (7300503).
Almost surely, 2340724832 is an apocalyptic number.
340724832 is a gapful number since it is divisible by the number (32) 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 340724832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525636216).
340724832 is an abundant number, since it is smaller than the sum of its proper divisors (710547600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
340724832 is a wasteful number, since it uses less digits than its factorization.
340724832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 781 (or 766 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 33.
The square root of 340724832 is about 18458.7332176398. The cubic root of 340724832 is about 698.4488318878.
The spelling of 340724832 in words is "three hundred forty million, seven hundred twenty-four thousand, eight hundred thirty-two".
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