Search a number
-
+
335090580 = 223511507713
BaseRepresentation
bin10011111110010…
…001001110010100
3212100112100212020
4103332101032110
51141240344310
653130053140
711206136316
oct2376211624
9770470766
10335090580
11162171570
129427a1b0
1354565b66
14327097b6
151e641170
hex13f91394

335090580 has 48 divisors (see below), whose sum is σ = 1023551424. Its totient is φ = 81233920.

The previous prime is 335090579. The next prime is 335090599. The reversal of 335090580 is 85090533.

335090580 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 2×3350905802 = 224571393609472800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 253197 + ... + 254516.

It is an arithmetic number, because the mean of its divisors is an integer number (21323988).

Almost surely, 2335090580 is an apocalyptic number.

335090580 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

335090580 is an abundant number, since it is smaller than the sum of its proper divisors (688460844).

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

335090580 is a wasteful number, since it uses less digits than its factorization.

335090580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507736 (or 507734 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 335090580 is about 18305.4795075136. The cubic root of 335090580 is about 694.5775463461.

The spelling of 335090580 in words is "three hundred thirty-five million, ninety thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 507713 1015426 1523139 2030852 2538565 3046278 5077130 5584843 6092556 7615695 10154260 11169686 15231390 16754529 22339372 27924215 30462780 33509058 55848430 67018116 83772645 111696860 167545290 335090580