Search a number
-
+
335009440 = 25514472
BaseRepresentation
bin10011111101111…
…101011010100000
3212100101020120001
4103331331122200
51141230300230
653124225344
711205350623
oct2375753240
9770336501
10335009440
11162116607
129423b254
1354537c4c
14326c7dba
151e6270ca
hex13f7d6a0

335009440 has 36 divisors (see below), whose sum is σ = 792007146. Its totient is φ = 133911168.

The previous prime is 335009417. The next prime is 335009443. The reversal of 335009440 is 44900533.

It can be written as a sum of positive squares in only one way, i.e., 301508496 + 33500944 = 17364^2 + 5788^2 .

It is a super-2 number, since 2×3350094402 = 224462649778227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 335009399 and 335009408.

It is not an unprimeable number, because it can be changed into a prime (335009443) 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 5 ways as a sum of consecutive naturals, for example, 230797 + ... + 232243.

Almost surely, 2335009440 is an apocalyptic number.

It is an amenable number.

335009440 is an abundant number, since it is smaller than the sum of its proper divisors (456997706).

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

335009440 is an frugal number, since it uses more digits than its factorization.

335009440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 335009440 is about 18303.2630970546. The cubic root of 335009440 is about 694.5214793451.

Adding to 335009440 its reverse (44900533), we get a palindrome (379909973).

The spelling of 335009440 in words is "three hundred thirty-five million, nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1447 2894 5788 7235 11576 14470 23152 28940 46304 57880 115760 231520 2093809 4187618 8375236 10469045 16750472 20938090 33500944 41876180 67001888 83752360 167504720 335009440