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2304080 = 24583347
BaseRepresentation
bin1000110010100001010000
311100001121022
420302201100
51042212310
6121215012
725404302
oct10624120
94301538
102304080
1113340a9
12931468
1362897c
1443d972
15307a55
hex232850

2304080 has 40 divisors (see below), whose sum is σ = 5437152. Its totient is φ = 907904.

The previous prime is 2304059. The next prime is 2304089. The reversal of 2304080 is 804032.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2304089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6467 + ... + 6813.

22304080 is an apocalyptic number.

2304080 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 2304080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718576).

2304080 is an abundant number, since it is smaller than the sum of its proper divisors (3133072).

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

2304080 is a wasteful number, since it uses less digits than its factorization.

2304080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2304080 is about 1517.9196289659. The cubic root of 2304080 is about 132.0786186081.

The spelling of 2304080 in words is "two million, three hundred four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 332 347 415 664 694 830 1328 1388 1660 1735 2776 3320 3470 5552 6640 6940 13880 27760 28801 57602 115204 144005 230408 288010 460816 576020 1152040 2304080