Base | Representation |
---|---|
bin | 10100100000001… |
… | …110100000100000 |
3 | 212222021121210111 |
4 | 110200032200200 |
5 | 1201030223402 |
6 | 54044541104 |
7 | 11344613104 |
oct | 2440164040 |
9 | 788247714 |
10 | 343992352 |
11 | 1671a1600 |
12 | 97251794 |
13 | 56361892 |
14 | 33985904 |
15 | 202ed9d7 |
hex | 1480e820 |
343992352 has 72 divisors (see below), whose sum is σ = 755216028. Its totient is φ = 154091520.
The previous prime is 343992349. The next prime is 343992353. The reversal of 343992352 is 253299343.
It can be written as a sum of positive squares in 2 ways, for example, as 343138576 + 853776 = 18524^2 + 924^2 .
It is a super-4 number, since 4×3439923524 (a number of 35 digits) contains 4444 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (343992353) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282048 + ... + 283264.
Almost surely, 2343992352 is an apocalyptic number.
343992352 is a gapful number since it is divisible by the number (32) 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 343992352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377608014).
343992352 is an abundant number, since it is smaller than the sum of its proper divisors (411223676).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
343992352 is a wasteful number, since it uses less digits than its factorization.
343992352 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1322 (or 1303 counting only the distinct ones).
The product of its digits is 174960, while the sum is 40.
The square root of 343992352 is about 18547.0308135831. The cubic root of 343992352 is about 700.6744194055.
The spelling of 343992352 in words is "three hundred forty-three million, nine hundred ninety-two thousand, three hundred fifty-two".
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