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2431 = 111317
BaseRepresentation
bin100101111111
310100001
4211333
534211
615131
710042
oct4577
93301
102431
111910
1214a7
131150
14c59
15ac1
hex97f

2431 has 8 divisors (see below), whose sum is σ = 3024. Its totient is φ = 1920.

The previous prime is 2423. The next prime is 2437. The reversal of 2431 is 1342.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 7-Lehmer number, since φ(2431) divides (2431-1)7.

It is a cyclic number.

It is not a de Polignac number, because 2431 - 23 = 2423 is a prime.

It is a super-2 number, since 2×24312 = 11819522, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2437) 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, 135 + ... + 151.

It is an arithmetic number, because the mean of its divisors is an integer number (378).

22431 is an apocalyptic number.

2431 is a deficient number, since it is larger than the sum of its proper divisors (593).

2431 is a wasteful number, since it uses less digits than its factorization.

2431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41.

The product of its digits is 24, while the sum is 10.

The square root of 2431 is about 49.3051721425. The cubic root of 2431 is about 13.4460581862.

Multiplying 2431 by its sum of digits (10), we get a triangular number (24310 = T220).

Adding to 2431 its reverse (1342), we get a palindrome (3773).

Subtracting from 2431 its reverse (1342), we obtain a square (1089 = 332).

It can be divided in two parts, 24 and 31, that added together give a palindrome (55).

The spelling of 2431 in words is "two thousand, four hundred thirty-one".

Divisors: 1 11 13 17 143 187 221 2431