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427344 = 24329307
BaseRepresentation
bin1101000010101010000
3210201012120
41220111100
5102133334
613054240
73426621
oct1502520
9721176
10427344
11272085
12187380
1311c688
14b1a48
1586949
hex68550

427344 has 40 divisors (see below), whose sum is σ = 1145760. Its totient is φ = 137088.

The previous prime is 427333. The next prime is 427351. The reversal of 427344 is 443724.

427344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

427344 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 1239 + ... + 1545.

It is an arithmetic number, because the mean of its divisors is an integer number (28644).

2427344 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 427344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572880).

427344 is an abundant number, since it is smaller than the sum of its proper divisors (718416).

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

427344 is a wasteful number, since it uses less digits than its factorization.

427344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 341 counting only the distinct ones).

The product of its digits is 2688, while the sum is 24.

The square root of 427344 is about 653.7155344643. The cubic root of 427344 is about 75.3226984404.

The spelling of 427344 in words is "four hundred twenty-seven thousand, three hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 307 348 464 614 696 921 1228 1392 1842 2456 3684 4912 7368 8903 14736 17806 26709 35612 53418 71224 106836 142448 213672 427344