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2328480 = 253357211
BaseRepresentation
bin1000111000011110100000
311101022002000
420320132200
51044002410
6121524000
725535400
oct10703640
94338060
102328480
111350470
12943600
13636acb
14448800
1530edc0
hex2387a0

2328480 has 288 divisors, whose sum is σ = 10342080. Its totient is φ = 483840.

The previous prime is 2328479. The next prime is 2328509. The reversal of 2328480 is 848232.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×23284802 = 10843638220800, which contains 22 as substring.

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

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211675 + ... + 211685.

It is an arithmetic number, because the mean of its divisors is an integer number (35910).

22328480 is an apocalyptic number.

2328480 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 2328480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171040).

2328480 is an abundant number, since it is smaller than the sum of its proper divisors (8013600).

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

2328480 is a wasteful number, since it uses less digits than its factorization.

2328480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2328480 is about 1525.9357784651. The cubic root of 2328480 is about 132.5432159970.

The spelling of 2328480 in words is "two million, three hundred twenty-eight thousand, four hundred eighty".