Base | Representation |
---|---|
bin | 111011110010… |
… | …0001100101000 |
3 | 2011222102001200 |
4 | 1313210030220 |
5 | 31010442100 |
6 | 3035444200 |
7 | 530262114 |
oct | 167441450 |
9 | 64872050 |
10 | 31343400 |
11 | 16768840 |
12 | a5b6660 |
13 | 66555ba |
14 | 423c744 |
15 | 2b41e00 |
hex | 1de4328 |
31343400 has 144 divisors (see below), whose sum is σ = 114903360. Its totient is φ = 7593600.
The previous prime is 31343399. The next prime is 31343401. The reversal of 31343400 is 434313.
It is an interprime number because it is at equal distance from previous prime (31343399) and next prime (31343401).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (31343401) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19009 + ... + 20591.
It is an arithmetic number, because the mean of its divisors is an integer number (797940).
Almost surely, 231343400 is an apocalyptic number.
31343400 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 31343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57451680).
31343400 is an abundant number, since it is smaller than the sum of its proper divisors (83559960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31343400 is a wasteful number, since it uses less digits than its factorization.
31343400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1616 (or 1604 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 31343400 is about 5598.5176609528. The cubic root of 31343400 is about 315.2937546952.
Adding to 31343400 its reverse (434313), we get a palindrome (31777713).
The spelling of 31343400 in words is "thirty-one million, three hundred forty-three thousand, four hundred".
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