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142342304 = 2513675107
BaseRepresentation
bin10000111101111…
…11100010100000
3100220211201221012
420132333202200
5242414423204
622042520052
73345614066
oct1036774240
9326751835
10142342304
1173391975
123b806028
132364a520
1414c94036
15c76a76e
hex87bf8a0

142342304 has 48 divisors (see below), whose sum is σ = 306357408. Its totient is φ = 64703232.

The previous prime is 142342303. The next prime is 142342327. The reversal of 142342304 is 403243241.

142342304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1423423042 = 40522663016056832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 142342304.

It is not an unprimeable number, because it can be changed into a prime (142342301) 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, 25319 + ... + 30425.

It is an arithmetic number, because the mean of its divisors is an integer number (6382446).

Almost surely, 2142342304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142342304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153178704).

142342304 is an abundant number, since it is smaller than the sum of its proper divisors (164015104).

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

142342304 is a wasteful number, since it uses less digits than its factorization.

142342304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5197 (or 5189 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 142342304 is about 11930.7293993284. The cubic root of 142342304 is about 522.1292184125.

Adding to 142342304 its reverse (403243241), we get a palindrome (545585545).

The spelling of 142342304 in words is "one hundred forty-two million, three hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 67 104 134 208 268 416 536 871 1072 1742 2144 3484 5107 6968 10214 13936 20428 27872 40856 66391 81712 132782 163424 265564 342169 531128 684338 1062256 1368676 2124512 2737352 4448197 5474704 8896394 10949408 17792788 35585576 71171152 142342304