Search a number
-
+
2431402440 = 233520261687
BaseRepresentation
bin1001000011101100…
…0100000111001000
320021110010001010020
42100323010013020
514434414334230
61041133220440
7114152402565
oct22073040710
96243101106
102431402440
111038510705
1257a331720
132c996208c
14190cb586c
15e36ca810
hex90ec41c8

2431402440 has 32 divisors (see below), whose sum is σ = 7294207680. Its totient is φ = 648373952.

The previous prime is 2431402433. The next prime is 2431402451. The reversal of 2431402440 is 442041342.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2431402440.

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, 10130724 + ... + 10130963.

It is an arithmetic number, because the mean of its divisors is an integer number (227943990).

Almost surely, 22431402440 is an apocalyptic number.

2431402440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2431402440 is an abundant number, since it is smaller than the sum of its proper divisors (4862805240).

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

2431402440 is a wasteful number, since it uses less digits than its factorization.

2431402440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20261701 (or 20261697 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2431402440 is about 49309.2530870221. The cubic root of 2431402440 is about 1344.6800121392.

Adding to 2431402440 its reverse (442041342), we get a palindrome (2873443782).

The spelling of 2431402440 in words is "two billion, four hundred thirty-one million, four hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 20261687 40523374 60785061 81046748 101308435 121570122 162093496 202616870 243140244 303925305 405233740 486280488 607850610 810467480 1215701220 2431402440