Search a number
-
+
335274000 = 243531719173
BaseRepresentation
bin10011111110111…
…110000000010000
3212100212200110120
4103332332000100
51141312232000
653134030240
711210532135
oct2376760020
9770780416
10335274000
11162287356
1294348380
13545cb4a9
143275658c
151e67a6a0
hex13fbe010

335274000 has 320 divisors, whose sum is σ = 1211708160. Its totient is φ = 79257600.

The previous prime is 335273969. The next prime is 335274007. The reversal of 335274000 is 472533.

335274000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3352740002 = 224817310152000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (335274007) 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, 1937914 + ... + 1938086.

It is an arithmetic number, because the mean of its divisors is an integer number (3786588).

Almost surely, 2335274000 is an apocalyptic number.

335274000 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 335274000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605854080).

335274000 is an abundant number, since it is smaller than the sum of its proper divisors (876434160).

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

335274000 is a wasteful number, since it uses less digits than its factorization.

335274000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 335274000 is about 18310.4887974079. The cubic root of 335274000 is about 694.7042545490.

The spelling of 335274000 in words is "three hundred thirty-five million, two hundred seventy-four thousand".