Base | Representation |
---|---|
bin | 10100011010000… |
… | …111100010111100 |
3 | 212212021021010010 |
4 | 110122013202330 |
5 | 1200123002342 |
6 | 53550343220 |
7 | 11325163260 |
oct | 2432074274 |
9 | 785237103 |
10 | 342390972 |
11 | 1662a8450 |
12 | 967bab10 |
13 | 55c20a11 |
14 | 3368a0a0 |
15 | 200d429c |
hex | 146878bc |
342390972 has 96 divisors (see below), whose sum is σ = 1039417344. Its totient is φ = 85060800.
The previous prime is 342390947. The next prime is 342390973. The reversal of 342390972 is 279093243.
342390972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 342390972.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (342390973) 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, 13197 + ... + 29307.
It is an arithmetic number, because the mean of its divisors is an integer number (10827264).
Almost surely, 2342390972 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 342390972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519708672).
342390972 is an abundant number, since it is smaller than the sum of its proper divisors (697026372).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
342390972 is a wasteful number, since it uses less digits than its factorization.
342390972 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 16159 (or 16157 counting only the distinct ones).
The product of its (nonzero) digits is 81648, while the sum is 39.
The square root of 342390972 is about 18503.8096617967. The cubic root of 342390972 is about 699.5854497839.
It can be divided in two parts, 3423 and 90972, that added together give a triangular number (94395 = T434).
The spelling of 342390972 in words is "three hundred forty-two million, three hundred ninety thousand, nine hundred seventy-two".
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