Base | Representation |
---|---|
bin | 10100011000101… |
… | …000001111000000 |
3 | 212211112102121000 |
4 | 110120220033000 |
5 | 1200023004301 |
6 | 53534132000 |
7 | 11321646141 |
oct | 2430501700 |
9 | 784472530 |
10 | 342000576 |
11 | 166061105 |
12 | 96651000 |
13 | 55b15108 |
14 | 335c7ac8 |
15 | 20058786 |
hex | 146283c0 |
342000576 has 112 divisors (see below), whose sum is σ = 1027054080. Its totient is φ = 111548160.
The previous prime is 342000541. The next prime is 342000599. The reversal of 342000576 is 675000243.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nialpdrome in base 12.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79111 + ... + 83321.
Almost surely, 2342000576 is an apocalyptic number.
342000576 is a gapful number since it is divisible by the number (36) 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 342000576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513527040).
342000576 is an abundant number, since it is smaller than the sum of its proper divisors (685053504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
342000576 is a wasteful number, since it uses less digits than its factorization.
342000576 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4279 (or 4263 counting only the distinct ones).
The product of its (nonzero) digits is 5040, while the sum is 27.
The square root of 342000576 is about 18493.2575821568. The cubic root of 342000576 is about 699.3194583180.
The spelling of 342000576 in words is "three hundred forty-two million, five hundred seventy-six", and thus it is an aban number.
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