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23834142 = 2333779151
BaseRepresentation
bin101101011101…
…0111000011110
31122211220022000
41122322320132
522100143032
62210503130
7406405203
oct132727036
948756260
1023834142
11124a9a42
127b94aa6
134c26657
143245caa
15215be7c
hex16bae1e

23834142 has 64 divisors (see below), whose sum is σ = 55449600. Its totient is φ = 7581600.

The previous prime is 23834137. The next prime is 23834147. The reversal of 23834142 is 24143832.

It is an interprime number because it is at equal distance from previous prime (23834137) and next prime (23834147).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23834147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157767 + ... + 157917.

It is an arithmetic number, because the mean of its divisors is an integer number (866400).

Almost surely, 223834142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23834142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27724800).

23834142 is an abundant number, since it is smaller than the sum of its proper divisors (31615458).

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

23834142 is a wasteful number, since it uses less digits than its factorization.

23834142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 23834142 is about 4882.0223268641. The cubic root of 23834142 is about 287.7839090847.

Adding to 23834142 its reverse (24143832), we get a palindrome (47977974).

The spelling of 23834142 in words is "twenty-three million, eight hundred thirty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 79 111 151 158 222 237 302 333 453 474 666 711 906 999 1359 1422 1998 2133 2718 2923 4077 4266 5587 5846 8154 8769 11174 11929 16761 17538 23858 26307 33522 35787 50283 52614 71574 78921 100566 107361 150849 157842 214722 301698 322083 441373 644166 882746 1324119 2648238 3972357 7944714 11917071 23834142