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342132112 = 24722811553
BaseRepresentation
bin10100011001001…
…000010110010000
3212211210010000201
4110121020112100
51200041211422
653541024544
711323034500
oct2431102620
9784703021
10342132112
11166140a13
12966b5154
1355b5cc4a
143361da00
1520082727
hex14648590

342132112 has 60 divisors (see below), whose sum is σ = 774348876. Its totient is φ = 146012160.

The previous prime is 342132101. The next prime is 342132127. The reversal of 342132112 is 211231243.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 123565456 + 218566656 = 11116^2 + 14784^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 342132112.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219528 + ... + 221080.

Almost surely, 2342132112 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 342132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387174438).

342132112 is an abundant number, since it is smaller than the sum of its proper divisors (432216764).

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

342132112 is a wasteful number, since it uses less digits than its factorization.

342132112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856 (or 1843 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 342132112 is about 18496.8135634222. The cubic root of 342132112 is about 699.4091013386.

Adding to 342132112 its reverse (211231243), we get a palindrome (553363355).

The spelling of 342132112 in words is "three hundred forty-two million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 281 392 562 784 1124 1553 1967 2248 3106 3934 4496 6212 7868 10871 12424 13769 15736 21742 24848 27538 31472 43484 55076 76097 86968 110152 152194 173936 220304 304388 436393 608776 872786 1217552 1745572 3054751 3491144 6109502 6982288 12219004 21383257 24438008 42766514 48876016 85533028 171066056 342132112