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612324 = 223273233
BaseRepresentation
bin10010101011111100100
31011002221200
42111133210
5124043244
621042500
75130126
oct2253744
91132850
10612324
11389059
12256430
1318592b
1411d216
15c1669
hex957e4

612324 has 36 divisors (see below), whose sum is σ = 1575756. Its totient is φ = 200448.

The previous prime is 612319. The next prime is 612331. The reversal of 612324 is 423216.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 230400 + 381924 = 480^2 + 618^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 612297 and 612306.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2512 + ... + 2744.

It is an arithmetic number, because the mean of its divisors is an integer number (43771).

2612324 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 612324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787878).

612324 is an abundant number, since it is smaller than the sum of its proper divisors (963432).

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

612324 is a wasteful number, since it uses less digits than its factorization.

612324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 311 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 612324 is about 782.5113417708. The cubic root of 612324 is about 84.9168275235.

The spelling of 612324 in words is "six hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 233 292 438 466 657 699 876 932 1314 1398 2097 2628 2796 4194 8388 17009 34018 51027 68036 102054 153081 204108 306162 612324