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2430208 = 2811863
BaseRepresentation
bin1001010001010100000000
311120110121201
421101110000
51110231313
6124030544
726441104
oct11212400
94513551
102430208
11140a940
12992454
136711c1
14473904
153300dd
hex251500

2430208 has 36 divisors (see below), whose sum is σ = 5298048. Its totient is φ = 1103360.

The previous prime is 2430173. The next prime is 2430217. The reversal of 2430208 is 8020342.

It is a happy number.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2385 + ... + 3247.

It is an arithmetic number, because the mean of its divisors is an integer number (147168).

22430208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2430208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649024).

2430208 is an abundant number, since it is smaller than the sum of its proper divisors (2867840).

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

2430208 is an equidigital number, since it uses as much as digits as its factorization.

2430208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2430208 is about 1558.9124414155. The cubic root of 2430208 is about 134.4459782222.

The spelling of 2430208 in words is "two million, four hundred thirty thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 863 1408 1726 2816 3452 6904 9493 13808 18986 27616 37972 55232 75944 110464 151888 220928 303776 607552 1215104 2430208