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487344 = 243111371
BaseRepresentation
bin1110110111110110000
3220202111210
41312332300
5111043334
614240120
74066554
oct1667660
9822453
10487344
11303170
121b6040
13140a90
14c9864
15995e9
hex76fb0

487344 has 80 divisors (see below), whose sum is σ = 1499904. Its totient is φ = 134400.

The previous prime is 487313. The next prime is 487349. The reversal of 487344 is 443784.

487344 = T1 + T2 + ... + T142.

487344 is a nontrivial binomial coefficient, being equal to C(144, 3).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (487349) by changing a digit.

487344 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is the 142-nd tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6829 + ... + 6899.

2487344 is an apocalyptic number.

487344 is a gapful number since it is divisible by the number (44) 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 487344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749952).

487344 is an abundant number, since it is smaller than the sum of its proper divisors (1012560).

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

487344 is a wasteful number, since it uses less digits than its factorization.

487344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 100 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 487344 is about 698.1002793296. The cubic root of 487344 is about 78.6946499444.

It can be divided in two parts, 4873 and 44, that multiplied together give a palindrome (214412).

The spelling of 487344 in words is "four hundred eighty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 71 78 88 104 132 142 143 156 176 208 213 264 284 286 312 426 429 528 568 572 624 781 852 858 923 1136 1144 1562 1704 1716 1846 2288 2343 2769 3124 3408 3432 3692 4686 5538 6248 6864 7384 9372 10153 11076 12496 14768 18744 20306 22152 30459 37488 40612 44304 60918 81224 121836 162448 243672 487344