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201342414 = 237132316033
BaseRepresentation
bin11000000000000…
…11110111001110
3112000212020212110
430000003313032
5403020424124
631551244450
74663245060
oct1400036716
9460766773
10201342414
11a371a599
1257519726
1332937330
141ca51730
1512a22029
hexc003dce

201342414 has 64 divisors (see below), whose sum is σ = 517192704. Its totient is φ = 50789376.

The previous prime is 201342353. The next prime is 201342433. The reversal of 201342414 is 414243102.

201342414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4542 + ... + 20574.

It is an arithmetic number, because the mean of its divisors is an integer number (8081136).

Almost surely, 2201342414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201342414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258596352).

201342414 is an abundant number, since it is smaller than the sum of its proper divisors (315850290).

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

201342414 is a wasteful number, since it uses less digits than its factorization.

201342414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16081.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 201342414 is about 14189.5177507905. The cubic root of 201342414 is about 586.1090452370.

Adding to 201342414 its reverse (414243102), we get a palindrome (615585516).

The spelling of 201342414 in words is "two hundred one million, three hundred forty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 69 78 91 138 161 182 273 299 322 483 546 598 897 966 1794 2093 4186 6279 12558 16033 32066 48099 96198 112231 208429 224462 336693 368759 416858 625287 673386 737518 1106277 1250574 1459003 2212554 2581313 2918006 4377009 4793867 5162626 7743939 8754018 9587734 14381601 15487878 28763202 33557069 67114138 100671207 201342414