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2023328 = 25531193
BaseRepresentation
bin111101101111110100000
310210210111002
413231332200
51004221303
6111211132
723124626
oct7557640
93723432
102023328
11116217a
12816aa8
1355ac48
143a9516
1529e788
hex1edfa0

2023328 has 24 divisors (see below), whose sum is σ = 4061988. Its totient is φ = 991744.

The previous prime is 2023313. The next prime is 2023337. The reversal of 2023328 is 8233202.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1993744 + 29584 = 1412^2 + 172^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1100 + ... + 2292.

22023328 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 2023328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030994).

2023328 is an abundant number, since it is smaller than the sum of its proper divisors (2038660).

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

2023328 is a wasteful number, since it uses less digits than its factorization.

2023328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2023328 is about 1422.4373448416. The cubic root of 2023328 is about 126.4800699749.

The spelling of 2023328 in words is "two million, twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1193 1696 2386 4772 9544 19088 38176 63229 126458 252916 505832 1011664 2023328