Search a number
-
+
334132200 = 2332522937173
BaseRepresentation
bin10011111010100…
…111001111101000
3212021201200012200
4103322213033220
51141014212300
653053340200
711165035233
oct2372471750
9767650180
10334132200
11161677516
1293a97660
13542bb87c
143253a41a
151e502200
hex13ea73e8

334132200 has 288 divisors, whose sum is σ = 1199086200. Its totient is φ = 83220480.

The previous prime is 334132181. The next prime is 334132207. The reversal of 334132200 is 2231433.

334132200 is a `hidden beast` number, since 3 + 341 + 322 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 148791204 + 185340996 = 12198^2 + 13614^2 .

It is a super-2 number, since 2×3341322002 = 223288654153680000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (334132207) 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 71 ways as a sum of consecutive naturals, for example, 1931314 + ... + 1931486.

Almost surely, 2334132200 is an apocalyptic number.

334132200 is a gapful number since it is divisible by the number (30) 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 334132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599543100).

334132200 is an abundant number, since it is smaller than the sum of its proper divisors (864954000).

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

334132200 is a wasteful number, since it uses less digits than its factorization.

334132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 334132200 is about 18279.2833557555. The cubic root of 334132200 is about 693.9147356541.

Adding to 334132200 its reverse (2231433), we get a palindrome (336363633).

The spelling of 334132200 in words is "three hundred thirty-four million, one hundred thirty-two thousand, two hundred".