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2328880 = 24543677
BaseRepresentation
bin1000111000100100110000
311101022121211
420320210300
51044011010
6121525504
725536511
oct10704460
94338554
102328880
1113507a4
12943894
13637048
14448a08
1531008a
hex238930

2328880 has 40 divisors (see below), whose sum is σ = 5548752. Its totient is φ = 908544.

The previous prime is 2328869. The next prime is 2328883. The reversal of 2328880 is 888232.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2328883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3102 + ... + 3778.

22328880 is an apocalyptic number.

2328880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2328880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774376).

2328880 is an abundant number, since it is smaller than the sum of its proper divisors (3219872).

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

2328880 is a wasteful number, since it uses less digits than its factorization.

2328880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 2328880 is about 1526.0668399516. The cubic root of 2328880 is about 132.5508052470.

The spelling of 2328880 in words is "two million, three hundred twenty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 677 688 860 1354 1720 2708 3385 3440 5416 6770 10832 13540 27080 29111 54160 58222 116444 145555 232888 291110 465776 582220 1164440 2328880