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683264 = 2817157
BaseRepresentation
bin10100110110100000000
31021201021002
42212310000
5133331024
622351132
75544011
oct2466400
91251232
10683264
1142738a
1228b4a8
131abcca
1413b008
15d76ae
hexa6d00

683264 has 36 divisors (see below), whose sum is σ = 1453284. Its totient is φ = 319488.

The previous prime is 683257. The next prime is 683273. The reversal of 683264 is 462386.

It can be written as a sum of positive squares in 2 ways, for example, as 369664 + 313600 = 608^2 + 560^2 .

It is a congruent 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 3 ways as a sum of consecutive naturals, for example, 4274 + ... + 4430.

It is an arithmetic number, because the mean of its divisors is an integer number (40369).

2683264 is an apocalyptic number.

683264 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 683264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726642).

683264 is an abundant number, since it is smaller than the sum of its proper divisors (770020).

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

683264 is a wasteful number, since it uses less digits than its factorization.

683264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 176 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 683264 is about 826.5978465977. The cubic root of 683264 is about 88.0770674734.

The spelling of 683264 in words is "six hundred eighty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 157 256 272 314 544 628 1088 1256 2176 2512 2669 4352 5024 5338 10048 10676 20096 21352 40192 42704 85408 170816 341632 683264