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683424 = 25337113
BaseRepresentation
bin10100110110110100000
31021201111000
42212312200
5133332144
622352000
75544330
oct2466640
91251430
10683424
11427515
1228b600
131ac0c1
1413b0c0
15d7769
hexa6da0

683424 has 96 divisors (see below), whose sum is σ = 2298240. Its totient is φ = 193536.

The previous prime is 683407. The next prime is 683437. The reversal of 683424 is 424386.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5992 + ... + 6104.

It is an arithmetic number, because the mean of its divisors is an integer number (23940).

2683424 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 683424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149120).

683424 is an abundant number, since it is smaller than the sum of its proper divisors (1614816).

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

683424 is a wasteful number, since it uses less digits than its factorization.

683424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 125 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 683424 is about 826.6946231832. The cubic root of 683424 is about 88.0839419421.

The spelling of 683424 in words is "six hundred eighty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 113 126 144 168 189 216 224 226 252 288 336 339 378 432 452 504 672 678 756 791 864 904 1008 1017 1356 1512 1582 1808 2016 2034 2373 2712 3024 3051 3164 3616 4068 4746 5424 6048 6102 6328 7119 8136 9492 10848 12204 12656 14238 16272 18984 21357 24408 25312 28476 32544 37968 42714 48816 56952 75936 85428 97632 113904 170856 227808 341712 683424