Base | Representation |
---|---|
bin | 10100101001100… |
… | …001111000011000 |
3 | 220010212111222210 |
4 | 110221201320120 |
5 | 1202141243000 |
6 | 54213115120 |
7 | 11404420626 |
oct | 2451417030 |
9 | 803774883 |
10 | 346431000 |
11 | 168607813 |
12 | 98028aa0 |
13 | 56a06876 |
14 | 3401c516 |
15 | 20631350 |
hex | 14a61e18 |
346431000 has 128 divisors (see below), whose sum is σ = 1110432960. Its totient is φ = 89856000.
The previous prime is 346430969. The next prime is 346431053. The reversal of 346431000 is 134643.
It is a super-2 number, since 2×3464310002 = 240028875522000000, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109440 + ... + 112560.
Almost surely, 2346431000 is an apocalyptic number.
346431000 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 346431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555216480).
346431000 is an abundant number, since it is smaller than the sum of its proper divisors (764001960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
346431000 is a wasteful number, since it uses less digits than its factorization.
346431000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3182 (or 3168 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 21.
The square root of 346431000 is about 18612.6569838914. The cubic root of 346431000 is about 702.3262742532.
Adding to 346431000 its reverse (134643), we get a palindrome (346565643).
The spelling of 346431000 in words is "three hundred forty-six million, four hundred thirty-one thousand".
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