Search a number
-
+
335312340 = 2235115979109
BaseRepresentation
bin10011111111000…
…111010111010100
3212100221122001120
4103333013113110
51141314443330
653134523540
711211051666
oct2377072724
9770848046
10335312340
11162303140
12943665b0
1354612a8c
1432766536
151e686c10
hex13fc75d4

335312340 has 192 divisors, whose sum is σ = 1064448000. Its totient is φ = 78174720.

The previous prime is 335312317. The next prime is 335312347. The reversal of 335312340 is 43213533.

It is a happy number.

It is a super-2 number, since 2×3353123402 = 224868730712551200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 335312340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335312347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3076206 + ... + 3076314.

It is an arithmetic number, because the mean of its divisors is an integer number (5544000).

Almost surely, 2335312340 is an apocalyptic number.

335312340 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 335312340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532224000).

335312340 is an abundant number, since it is smaller than the sum of its proper divisors (729135660).

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

335312340 is a wasteful number, since it uses less digits than its factorization.

335312340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 335312340 is about 18311.5357083998. The cubic root of 335312340 is about 694.7307343296.

Adding to 335312340 its reverse (43213533), we get a palindrome (378525873).

The spelling of 335312340 in words is "three hundred thirty-five million, three hundred twelve thousand, three hundred forty".