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2328816 = 243729239
BaseRepresentation
bin1000111000100011110000
311101022112110
420320203300
51044010231
6121525320
725536360
oct10704360
94338473
102328816
111350746
12943840
13636cc9
144489a0
15310046
hex2388f0

2328816 has 80 divisors (see below), whose sum is σ = 7142400. Its totient is φ = 639744.

The previous prime is 2328791. The next prime is 2328827. The reversal of 2328816 is 6188232.

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

It is a congruent number.

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, 9625 + ... + 9863.

It is an arithmetic number, because the mean of its divisors is an integer number (89280).

22328816 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 2328816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571200).

2328816 is an abundant number, since it is smaller than the sum of its proper divisors (4813584).

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

2328816 is a wasteful number, since it uses less digits than its factorization.

2328816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 280 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 2328816 is about 1526.0458708702. The cubic root of 2328816 is about 132.5495910254.

The spelling of 2328816 in words is "two million, three hundred twenty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 239 336 348 406 464 478 609 696 717 812 956 1218 1392 1434 1624 1673 1912 2436 2868 3248 3346 3824 4872 5019 5736 6692 6931 9744 10038 11472 13384 13862 20076 20793 26768 27724 40152 41586 48517 55448 80304 83172 97034 110896 145551 166344 194068 291102 332688 388136 582204 776272 1164408 2328816