Search a number
-
+
112434300 = 2232521141277
BaseRepresentation
bin1101011001110…
…01110001111100
321211120020212100
412230321301330
5212240344200
615053505100
72533450536
oct654716174
9254506770
10112434300
1158514610
12317a2190
131a3a8394
1410d0a856
159d0dd00
hex6b39c7c

112434300 has 216 divisors, whose sum is σ = 395255952. Its totient is φ = 26496000.

The previous prime is 112434299. The next prime is 112434307. The reversal of 112434300 is 3434211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112434307) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 405762 + ... + 406038.

Almost surely, 2112434300 is an apocalyptic number.

112434300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112434300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197627976).

112434300 is an abundant number, since it is smaller than the sum of its proper divisors (282821652).

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

112434300 is a wasteful number, since it uses less digits than its factorization.

112434300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 112434300 is about 10603.5041377839. The cubic root of 112434300 is about 482.6506997031.

Adding to 112434300 its reverse (3434211), we get a palindrome (115868511).

The spelling of 112434300 in words is "one hundred twelve million, four hundred thirty-four thousand, three hundred".