Search a number
-
+
335541020 = 225232925153
BaseRepresentation
bin10011111111111…
…111001100011100
3212101101020202012
4103333333030130
51141344303040
653143450352
711213023463
oct2377771434
9771336665
10335541020
11162449a31
12944569b8
1354692ba9
14327c59da
151e6ce865
hex13fff31c

335541020 has 48 divisors (see below), whose sum is σ = 760656960. Its totient is φ = 123949056.

The previous prime is 335541001. The next prime is 335541071. The reversal of 335541020 is 20145533.

335541020 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-3 number, since 3×3355410203 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 764 + ... + 25916.

It is an arithmetic number, because the mean of its divisors is an integer number (15847020).

Almost surely, 2335541020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335541020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380328480).

335541020 is an abundant number, since it is smaller than the sum of its proper divisors (425115940).

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

335541020 is a wasteful number, since it uses less digits than its factorization.

335541020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25214 (or 25212 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 335541020 is about 18317.7787954763. The cubic root of 335541020 is about 694.8886318109. Note that the first 3 decimals are identical.

Adding to 335541020 its reverse (20145533), we get a palindrome (355686553).

The spelling of 335541020 in words is "three hundred thirty-five million, five hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 580 667 1334 2668 3335 6670 13340 25153 50306 100612 125765 251530 503060 578519 729437 1157038 1458874 2314076 2892595 2917748 3647185 5785190 7294370 11570380 14588740 16777051 33554102 67108204 83885255 167770510 335541020