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6281344 = 27311583
BaseRepresentation
bin10111111101100010000000
3102211010101101
4113331202000
53102000334
6342344144
7104250646
oct27754200
912733341
106281344
1136002a3
12212b054
1313bc094
14b97196
15841214
hex5fd880

6281344 has 32 divisors (see below), whose sum is σ = 12925440. Its totient is φ = 3037440.

The previous prime is 6281339. The next prime is 6281351. The reversal of 6281344 is 4431826.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3177 + ... + 4759.

It is an arithmetic number, because the mean of its divisors is an integer number (403920).

Almost surely, 26281344 is an apocalyptic number.

6281344 is a gapful number since it is divisible by the number (64) 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 6281344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6462720).

6281344 is an abundant number, since it is smaller than the sum of its proper divisors (6644096).

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

6281344 is a wasteful number, since it uses less digits than its factorization.

6281344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1616 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 6281344 is about 2506.2609600758. The cubic root of 6281344 is about 184.5089876963.

It can be divided in two parts, 62 and 81344, that added together give a triangular number (81406 = T403).

The spelling of 6281344 in words is "six million, two hundred eighty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1583 1984 3166 3968 6332 12664 25328 49073 50656 98146 101312 196292 202624 392584 785168 1570336 3140672 6281344