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2642304 = 2737983
BaseRepresentation
bin1010000101000110000000
311222020120010
422011012000
51134023204
6132344520
731313340
oct12050600
94866503
102642304
111545225
12a75140
137168c2
144cad20
15372d89
hex285180

2642304 has 64 divisors (see below), whose sum is σ = 8029440. Its totient is φ = 754176.

The previous prime is 2642291. The next prime is 2642323. The reversal of 2642304 is 4032462.

2642304 is digitally balanced in base 5, 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 (64).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2197 + ... + 3179.

It is an arithmetic number, because the mean of its divisors is an integer number (125460).

22642304 is an apocalyptic number.

2642304 is a gapful number since it is divisible by the number (24) 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 2642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4014720).

2642304 is an abundant number, since it is smaller than the sum of its proper divisors (5387136).

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

2642304 is an equidigital number, since it uses as much as digits as its factorization.

2642304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2642304 is about 1625.5165332903. The cubic root of 2642304 is about 138.2486590084.

Adding to 2642304 its reverse (4032462), we get a palindrome (6674766).

The spelling of 2642304 in words is "two million, six hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 983 1344 1966 2688 2949 3932 5898 6881 7864 11796 13762 15728 20643 23592 27524 31456 41286 47184 55048 62912 82572 94368 110096 125824 165144 188736 220192 330288 377472 440384 660576 880768 1321152 2642304