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2404080 = 24345753
BaseRepresentation
bin1001001010111011110000
311112010210000
421022323300
51103412310
6123310000
726301660
oct11127360
94463700
102404080
1113a2248
1297b300
13662343
144681a0
153274c0
hex24aef0

2404080 has 200 divisors, whose sum is σ = 9722592. Its totient is φ = 539136.

The previous prime is 2404079. The next prime is 2404093. The reversal of 2404080 is 804042.

It is a happy number.

2404080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45334 + ... + 45386.

22404080 is an apocalyptic number.

2404080 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 2404080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4861296).

2404080 is an abundant number, since it is smaller than the sum of its proper divisors (7318512).

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

2404080 is a wasteful number, since it uses less digits than its factorization.

2404080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2404080 is about 1550.5095936498. The cubic root of 2404080 is about 133.9624161322.

The spelling of 2404080 in words is "two million, four hundred four thousand, eighty".