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2023240431 = 317334311867
BaseRepresentation
bin111100010011000…
…0011001011101111
312020000002021002210
41320212003023233
513120422143211
6532433021503
7101065155102
oct17046031357
95200067083
102023240431
11949080533
124856b4893
132632236b4
141529c8739
15bc9539a6
hex789832ef

2023240431 has 16 divisors (see below), whose sum is σ = 2857434624. Its totient is φ = 1268997504.

The previous prime is 2023240367. The next prime is 2023240463. The reversal of 2023240431 is 1340423202.

It is not a de Polignac number, because 2023240431 - 26 = 2023240367 is a prime.

It is a super-2 number, since 2×20232404312 = 8187003683266131522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2023240398 and 2023240407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023241431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164560 + ... + 176426.

It is an arithmetic number, because the mean of its divisors is an integer number (178589664).

Almost surely, 22023240431 is an apocalyptic number.

2023240431 is a deficient number, since it is larger than the sum of its proper divisors (834194193).

2023240431 is a wasteful number, since it uses less digits than its factorization.

2023240431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15230.

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

The square root of 2023240431 is about 44980.4449844596. Note that the first 3 decimals coincide. The cubic root of 2023240431 is about 1264.7824527603.

Adding to 2023240431 its reverse (1340423202), we get a palindrome (3363663633).

The spelling of 2023240431 in words is "two billion, twenty-three million, two hundred forty thousand, four hundred thirty-one".

Divisors: 1 3 17 51 3343 10029 11867 35601 56831 170493 201739 605217 39671381 119014143 674413477 2023240431