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683604 = 2232171117
BaseRepresentation
bin10100110111001010100
31021201201200
42212321110
5133333404
622352500
75545005
oct2467124
91251650
10683604
11427669
1228b730
131ac1cc
1413b1ac
15d7839
hexa6e54

683604 has 36 divisors (see below), whose sum is σ = 1831284. Its totient is φ = 214272.

The previous prime is 683603. The next prime is 683651. The reversal of 683604 is 406386.

683604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 248004 + 435600 = 498^2 + 660^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54 + ... + 1170.

It is an arithmetic number, because the mean of its divisors is an integer number (50869).

2683604 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 683604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915642).

683604 is an abundant number, since it is smaller than the sum of its proper divisors (1147680).

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

683604 is a wasteful number, since it uses less digits than its factorization.

683604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 683604 is about 826.8034833018. The cubic root of 683604 is about 88.0916744370.

The spelling of 683604 in words is "six hundred eighty-three thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1117 2234 3351 4468 6702 10053 13404 18989 20106 37978 40212 56967 75956 113934 170901 227868 341802 683604