Search a number
-
+
335413540 = 225711353617
BaseRepresentation
bin10011111111100…
…000000100100100
3212101010202212201
4103333200010210
51141331213130
653141024244
711211653020
oct2377400444
9771122781
10335413540
11162372180
12943b5084
1354649b67
1432791380
151e6a6bca
hex13fe0124

335413540 has 96 divisors (see below), whose sum is σ = 882088704. Its totient is φ = 104079360.

The previous prime is 335413537. The next prime is 335413597. The reversal of 335413540 is 45314533.

It is a super-2 number, since 2×3354135402 = 225004485630663200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 335413499 and 335413508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 543312 + ... + 543928.

It is an arithmetic number, because the mean of its divisors is an integer number (9188424).

Almost surely, 2335413540 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 335413540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441044352).

335413540 is an abundant number, since it is smaller than the sum of its proper divisors (546675164).

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

335413540 is a wasteful number, since it uses less digits than its factorization.

335413540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 335413540 is about 18314.2987853753. The cubic root of 335413540 is about 694.8006191008.

The spelling of 335413540 in words is "three hundred thirty-five million, four hundred thirteen thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 353 385 617 706 770 1234 1412 1540 1765 2468 2471 3085 3530 3883 4319 4942 6170 6787 7060 7766 8638 9884 12340 12355 13574 15532 17276 19415 21595 24710 27148 27181 33935 38830 43190 47509 49420 54362 67870 77660 86380 95018 108724 135740 135905 190036 217801 237545 271810 435602 475090 543620 871204 950180 1089005 1524607 2178010 2395811 3049214 4356020 4791622 6098428 7623035 9583244 11979055 15246070 16770677 23958110 30492140 33541354 47916220 67082708 83853385 167706770 335413540