[go: up one dir, main page]

Search a number
-
+
335012040 = 2332511312729
BaseRepresentation
bin10011111101111…
…110000011001000
3212100101101010100
4103331332003020
51141230341130
653124245400
711205361326
oct2375760310
9770341110
10335012040
11162118560
1294240860
135453919c
14326c8d16
151e627c60
hex13f7e0c8

335012040 has 192 divisors, whose sum is σ = 1226534400. Its totient is φ = 78566400.

The previous prime is 335012033. The next prime is 335012077. The reversal of 335012040 is 40210533.

It is a super-2 number, since 2×3350120402 = 224466133889923200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121396 + ... + 124124.

It is an arithmetic number, because the mean of its divisors is an integer number (6388200).

Almost surely, 2335012040 is an apocalyptic number.

335012040 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 335012040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613267200).

335012040 is an abundant number, since it is smaller than the sum of its proper divisors (891522360).

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

335012040 is a wasteful number, since it uses less digits than its factorization.

335012040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 335012040 is about 18303.3341225035. The cubic root of 335012040 is about 694.5232760619.

Adding to 335012040 its reverse (40210533), we get a palindrome (375222573).

The spelling of 335012040 in words is "three hundred thirty-five million, twelve thousand, forty".