Search a number
-
+
2390304 = 25373557
BaseRepresentation
bin1001000111100100100000
311111102212210
421013210200
51102442204
6123122120
726213550
oct11074440
94442783
102390304
111392964
12973340
13658ca7
14463160
15323389
hex247920

2390304 has 48 divisors (see below), whose sum is σ = 7172928. Its totient is φ = 682752.

The previous prime is 2390299. The next prime is 2390309. The reversal of 2390304 is 4030932.

2390304 = T19 + T20 + ... + T242.

It is an interprime number because it is at equal distance from previous prime (2390299) and next prime (2390309).

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 (21).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2390309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1107 + ... + 2450.

It is an arithmetic number, because the mean of its divisors is an integer number (149436).

22390304 is an apocalyptic number.

2390304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2390304 is an abundant number, since it is smaller than the sum of its proper divisors (4782624).

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

2390304 is a wasteful number, since it uses less digits than its factorization.

2390304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3577 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 2390304 is about 1546.0608008743. The cubic root of 2390304 is about 133.7060460573.

The spelling of 2390304 in words is "two million, three hundred ninety thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 3557 7114 10671 14228 21342 24899 28456 42684 49798 56912 74697 85368 99596 113824 149394 170736 199192 298788 341472 398384 597576 796768 1195152 2390304