Base | Representation |
---|---|
bin | 10100100101011… |
… | …111111010100010 |
3 | 220001212211120100 |
4 | 110211133322202 |
5 | 1201403434440 |
6 | 54134323230 |
7 | 11362430235 |
oct | 2445377242 |
9 | 801784510 |
10 | 345374370 |
11 | 167a55970 |
12 | 977b9516 |
13 | 56726943 |
14 | 33c2541c |
15 | 204c3230 |
hex | 1495fea2 |
345374370 has 96 divisors (see below), whose sum is σ = 985944960. Its totient is φ = 83185920.
The previous prime is 345374339. The next prime is 345374383. The reversal of 345374370 is 73473543.
345374370 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164286 + ... + 166374.
It is an arithmetic number, because the mean of its divisors is an integer number (10270260).
Almost surely, 2345374370 is an apocalyptic number.
345374370 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 345374370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492972480).
345374370 is an abundant number, since it is smaller than the sum of its proper divisors (640570590).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
345374370 is a wasteful number, since it uses less digits than its factorization.
345374370 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2280 (or 2277 counting only the distinct ones).
The product of its (nonzero) digits is 105840, while the sum is 36.
The square root of 345374370 is about 18584.2505902175. The cubic root of 345374370 is about 701.6115049143.
It can be divided in two parts, 345374 and 370, that added together give a square (345744 = 5882).
The spelling of 345374370 in words is "three hundred forty-five million, three hundred seventy-four thousand, three hundred seventy".
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