Base | Representation |
---|---|
bin | 1011111101100… |
… | …01101000110000 |
3 | 20222210220210020 |
4 | 11332301220300 |
5 | 201141423240 |
6 | 13542403440 |
7 | 2325616131 |
oct | 576615060 |
9 | 228726706 |
10 | 100342320 |
11 | 51705741 |
12 | 29730580 |
13 | 17a33570 |
14 | d47dc88 |
15 | 8c210d0 |
hex | 5fb1a30 |
100342320 has 160 divisors (see below), whose sum is σ = 346852800. Its totient is φ = 23826432.
The previous prime is 100342301. The next prime is 100342327. The reversal of 100342320 is 23243001.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 100342320.
It is not an unprimeable number, because it can be changed into a prime (100342327) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89926 + ... + 91034.
It is an arithmetic number, because the mean of its divisors is an integer number (2167830).
Almost surely, 2100342320 is an apocalyptic number.
100342320 is a gapful number since it is divisible by the number (10) 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 100342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173426400).
100342320 is an abundant number, since it is smaller than the sum of its proper divisors (246510480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100342320 is a wasteful number, since it uses less digits than its factorization.
100342320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1167 (or 1161 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 15.
The square root of 100342320 is about 10017.1013771450. The cubic root of 100342320 is about 464.6879163876.
Adding to 100342320 its reverse (23243001), we get a palindrome (123585321).
The spelling of 100342320 in words is "one hundred million, three hundred forty-two thousand, three hundred twenty".
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