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201346340 = 225135691361
BaseRepresentation
bin11000000000001…
…00110100100100
3112000212110020212
430000010310210
5403021040330
631551314552
74663262366
oct1400046444
9460773225
10201346340
11a3722538
125751ba58
1332939060
141ca52d36
1512a23295
hexc004d24

201346340 has 48 divisors (see below), whose sum is σ = 456487920. Its totient is φ = 74158080.

The previous prime is 201346309. The next prime is 201346349. The reversal of 201346340 is 43643102.

It is a happy number.

201346340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 69923044 + 131423296 = 8362^2 + 11464^2 .

It is not an unprimeable number, because it can be changed into a prime (201346349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147260 + ... + 148620.

It is an arithmetic number, because the mean of its divisors is an integer number (9510165).

Almost surely, 2201346340 is an apocalyptic number.

201346340 is a gapful number since it is divisible by the number (20) 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 201346340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228243960).

201346340 is an abundant number, since it is smaller than the sum of its proper divisors (255141580).

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

201346340 is a wasteful number, since it uses less digits than its factorization.

201346340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 201346340 is about 14189.6560916747. The cubic root of 201346340 is about 586.1128547492.

Adding to 201346340 its reverse (43643102), we get a palindrome (244989442).

The spelling of 201346340 in words is "two hundred one million, three hundred forty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 569 1138 1361 2276 2722 2845 5444 5690 6805 7397 11380 13610 14794 17693 27220 29588 35386 36985 70772 73970 88465 147940 176930 353860 774409 1548818 3097636 3872045 7744090 10067317 15488180 20134634 40269268 50336585 100673170 201346340