Search a number
-
+
335340720 = 2432511133257
BaseRepresentation
bin10011111111001…
…110010010110000
3212101000001222200
4103333032102300
51141321400340
653135303200
711211230511
oct2377162260
9771001880
10335340720
111623224a0
129437ab00
1354622980
1432772a08
151e690330
hex13fce4b0

335340720 has 240 divisors, whose sum is σ = 1323477792. Its totient is φ = 75018240.

The previous prime is 335340683. The next prime is 335340727. The reversal of 335340720 is 27043533.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3353407202 = 224906796980236800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (335340727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101332 + ... + 104588.

Almost surely, 2335340720 is an apocalyptic number.

335340720 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 335340720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661738896).

335340720 is an abundant number, since it is smaller than the sum of its proper divisors (988137072).

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

335340720 is a wasteful number, since it uses less digits than its factorization.

335340720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3300 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 335340720 is about 18312.3106133552. The cubic root of 335340720 is about 694.7503338688.

The spelling of 335340720 in words is "three hundred thirty-five million, three hundred forty thousand, seven hundred twenty".