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312488 = 23115367
BaseRepresentation
bin1001100010010101000
3120212122122
41030102220
534444423
610410412
72441021
oct1142250
9525578
10312488
111a3860
12130a08
13ac307
1481c48
15628c8
hex4c4a8

312488 has 32 divisors (see below), whose sum is σ = 660960. Its totient is φ = 137280.

The previous prime is 312469. The next prime is 312509. The reversal of 312488 is 884213.

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4631 + ... + 4697.

It is an arithmetic number, because the mean of its divisors is an integer number (20655).

2312488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330480).

312488 is an abundant number, since it is smaller than the sum of its proper divisors (348472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312488 is a wasteful number, since it uses less digits than its factorization.

312488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 133 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 312488 is about 559.0062611456. The cubic root of 312488 is about 67.8595717901.

The spelling of 312488 in words is "three hundred twelve thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 22 44 53 67 88 106 134 212 268 424 536 583 737 1166 1474 2332 2948 3551 4664 5896 7102 14204 28408 39061 78122 156244 312488