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442142334 = 23346117761
BaseRepresentation
bin11010010110101…
…000111001111110
31010210222011021000
4122112220321332
51401142023314
6111512351130
713646101464
oct3226507176
91123864230
10442142334
1120763a097
121040a54a6
13707a82aa
1442a14834
1528c3a209
hex1a5a8e7e

442142334 has 32 divisors (see below), whose sum is σ = 984725280. Its totient is φ = 147052800.

The previous prime is 442142333. The next prime is 442142357. The reversal of 442142334 is 433241244.

It is a happy number.

442142334 is a `hidden beast` number, since 4 + 421 + 4 + 233 + 4 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 442142298 and 442142307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442142333) 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, 16014 + ... + 33774.

It is an arithmetic number, because the mean of its divisors is an integer number (30772665).

Almost surely, 2442142334 is an apocalyptic number.

442142334 is an abundant number, since it is smaller than the sum of its proper divisors (542582946).

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

442142334 is a wasteful number, since it uses less digits than its factorization.

442142334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18233 (or 18227 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 442142334 is about 21027.1808381438. The cubic root of 442142334 is about 761.8229174966.

Adding to 442142334 its reverse (433241244), we get a palindrome (875383578).

The spelling of 442142334 in words is "four hundred forty-two million, one hundred forty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 461 922 1383 2766 4149 8298 12447 17761 24894 35522 53283 106566 159849 319698 479547 959094 8187821 16375642 24563463 49126926 73690389 147380778 221071167 442142334