Base | Representation |
---|---|
bin | 10010011110101… |
… | …011010001010010 |
3 | 210121101020012000 |
4 | 102132223101102 |
5 | 1113332001232 |
6 | 50433014430 |
7 | 10453136520 |
oct | 2236532122 |
9 | 717336160 |
10 | 310031442 |
11 | 14a006236 |
12 | 879b4416 |
13 | 4c300a76 |
14 | 2d265310 |
15 | 1c34127c |
hex | 127ab452 |
310031442 has 64 divisors (see below), whose sum is σ = 795125760. Its totient is φ = 87709392.
The previous prime is 310031441. The next prime is 310031443. The reversal of 310031442 is 244130013.
310031442 is a `hidden beast` number, since 310 + 0 + 314 + 42 = 666.
It is an interprime number because it is at equal distance from previous prime (310031441) and next prime (310031443).
It is a super-2 number, since 2×3100314422 = 192238990057198728, which contains 22 as substring.
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 (310031441) 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, 34953 + ... + 42915.
It is an arithmetic number, because the mean of its divisors is an integer number (12423840).
Almost surely, 2310031442 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 310031442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397562880).
310031442 is an abundant number, since it is smaller than the sum of its proper divisors (485094318).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
310031442 is a wasteful number, since it uses less digits than its factorization.
310031442 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8084 (or 8078 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 310031442 is about 17607.7097318192. The cubic root of 310031442 is about 676.8128257592.
Adding to 310031442 its reverse (244130013), we get a palindrome (554161455).
The spelling of 310031442 in words is "three hundred ten million, thirty-one thousand, four hundred forty-two".
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