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2404320 = 25355009
BaseRepresentation
bin1001001010111111100000
311112011002220
421022333200
51103414240
6123311040
726302452
oct11127740
94464086
102404320
1113a2446
1297b480
13662499
144682d2
153275d0
hex24afe0

2404320 has 48 divisors (see below), whose sum is σ = 7575120. Its totient is φ = 641024.

The previous prime is 2404313. The next prime is 2404333. The reversal of 2404320 is 234042.

It is a happy number.

2404320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2404320.

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 7 ways as a sum of consecutive naturals, for example, 2025 + ... + 2984.

It is an arithmetic number, because the mean of its divisors is an integer number (157815).

22404320 is an apocalyptic number.

2404320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2404320 is an abundant number, since it is smaller than the sum of its proper divisors (5170800).

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

2404320 is a wasteful number, since it uses less digits than its factorization.

2404320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5027 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2404320 is about 1550.5869856283. The cubic root of 2404320 is about 133.9668738194.

Adding to 2404320 its reverse (234042), we get a palindrome (2638362).

It can be divided in two parts, 240 and 4320, that added together give a triangular number (4560 = T95).

The spelling of 2404320 in words is "two million, four hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 5009 10018 15027 20036 25045 30054 40072 50090 60108 75135 80144 100180 120216 150270 160288 200360 240432 300540 400720 480864 601080 801440 1202160 2404320