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23744142 = 2322383691
BaseRepresentation
bin101101010010…
…0111010001110
31122200022211200
41122210322032
522034303032
62204530330
7405551622
oct132447216
948608750
1023744142
1112448364
127b509a6
134bc46b6
143221182
15214047c
hex16a4e8e

23744142 has 48 divisors (see below), whose sum is σ = 54407808. Its totient is φ = 7468560.

The previous prime is 23744111. The next prime is 23744153. The reversal of 23744142 is 24144732.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34017 + ... + 34707.

It is an arithmetic number, because the mean of its divisors is an integer number (1133496).

Almost surely, 223744142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23744142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27203904).

23744142 is an abundant number, since it is smaller than the sum of its proper divisors (30663666).

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

23744142 is a wasteful number, since it uses less digits than its factorization.

23744142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 802 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 23744142 is about 4872.7961172206. The cubic root of 23744142 is about 287.4212189940.

Adding to 23744142 its reverse (24144732), we get a palindrome (47888874).

The spelling of 23744142 in words is "twenty-three million, seven hundred forty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 83 138 166 207 249 414 498 691 747 1382 1494 1909 2073 3818 4146 5727 6219 11454 12438 15893 17181 31786 34362 47679 57353 95358 114706 143037 172059 286074 344118 516177 1032354 1319119 2638238 3957357 7914714 11872071 23744142