Base | Representation |
---|---|
bin | 1001100010010100000 |
3 | 120212122100 |
4 | 1030102200 |
5 | 34444410 |
6 | 10410400 |
7 | 2441010 |
oct | 1142240 |
9 | 525570 |
10 | 312480 |
11 | 1a3853 |
12 | 130a00 |
13 | ac2cc |
14 | 81c40 |
15 | 628c0 |
hex | 4c4a0 |
312480 has 144 divisors (see below), whose sum is σ = 1257984. Its totient is φ = 69120.
The previous prime is 312469. The next prime is 312509. The reversal of 312480 is 84213.
312480 = 852 + 862 + ... + 1152.
It is a happy number.
It is a Cunningham number, because it is equal to 5592-1.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312480.
It is an unprimeable number.
312480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10065 + ... + 10095.
It is an arithmetic number, because the mean of its divisors is an integer number (8736).
2312480 is an apocalyptic number.
312480 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 312480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628992).
312480 is an abundant number, since it is smaller than the sum of its proper divisors (945504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
312480 is a wasteful number, since it uses less digits than its factorization.
312480 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 59 (or 48 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 312480 is about 558.9991055449. Note that the first 3 decimals coincide. The cubic root of 312480 is about 67.8589926946.
Adding to 312480 its reverse (84213), we get a palindrome (396693).
The spelling of 312480 in words is "three hundred twelve thousand, four hundred eighty".
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