Search a number
-
+
2240808 = 233731279
BaseRepresentation
bin1000100011000100101000
311012211210220
420203010220
51033201213
6120010040
725021653
oct10430450
94184726
102240808
1112a0609
12900920
13605c2b
1442489a
152e3e23
hex223128

2240808 has 32 divisors (see below), whose sum is σ = 5683200. Its totient is φ = 736128.

The previous prime is 2240807. The next prime is 2240809. The reversal of 2240808 is 8080422.

It is an interprime number because it is at equal distance from previous prime (2240807) and next prime (2240809).

It is a Harshad number since it is a multiple of its sum of digits (24).

2240808 is a modest number, since divided by 808 gives 224 as remainder.

It is not an unprimeable number, because it can be changed into a prime (2240807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1113 + ... + 2391.

It is an arithmetic number, because the mean of its divisors is an integer number (177600).

22240808 is an apocalyptic number.

It is an amenable number.

2240808 is an abundant number, since it is smaller than the sum of its proper divisors (3442392).

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

2240808 is a wasteful number, since it uses less digits than its factorization.

2240808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2240808 is about 1496.9328642260. The cubic root of 2240808 is about 130.8583827876.

The spelling of 2240808 in words is "two million, two hundred forty thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 24 73 146 219 292 438 584 876 1279 1752 2558 3837 5116 7674 10232 15348 30696 93367 186734 280101 373468 560202 746936 1120404 2240808