Base | Representation |
---|---|
bin | 10100110000001… |
… | …010000000110000 |
3 | 220021010210001000 |
4 | 110300022000300 |
5 | 1203112340430 |
6 | 54314242000 |
7 | 11425244520 |
oct | 2460120060 |
9 | 807123030 |
10 | 348168240 |
11 | 169593a52 |
12 | 98726300 |
13 | 57194514 |
14 | 34351680 |
15 | 20875e60 |
hex | 14c0a030 |
348168240 has 160 divisors (see below), whose sum is σ = 1370626560. Its totient is φ = 79577856.
The previous prime is 348168239. The next prime is 348168241. The reversal of 348168240 is 42861843.
It is an interprime number because it is at equal distance from previous prime (348168239) and next prime (348168241).
It is a super-2 number, since 2×3481682402 = 242442246689395200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 348168195 and 348168204.
It is not an unprimeable number, because it can be changed into a prime (348168241) 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, 3607 + ... + 26633.
It is an arithmetic number, because the mean of its divisors is an integer number (8566416).
Almost surely, 2348168240 is an apocalyptic number.
348168240 is a gapful number since it is divisible by the number (30) 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 348168240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685313280).
348168240 is an abundant number, since it is smaller than the sum of its proper divisors (1022458320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
348168240 is a wasteful number, since it uses less digits than its factorization.
348168240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 23056 (or 23044 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 36.
The square root of 348168240 is about 18659.2668666269. The cubic root of 348168240 is about 703.4982974213.
The spelling of 348168240 in words is "three hundred forty-eight million, one hundred sixty-eight thousand, two hundred forty".
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