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335130000 = 2435411171
BaseRepresentation
bin10011111110011…
…010110110010000
3212100121100221020
4103332122312100
51141243130000
653130555440
711206362252
oct2376326620
9770540836
10335130000
11162199147
1294298b80
135457aa9a
1432719cd2
151e64cba0
hex13f9ad90

335130000 has 100 divisors (see below), whose sum is σ = 1081941168. Its totient is φ = 89360000.

The previous prime is 335129981. The next prime is 335130001. The reversal of 335130000 is 31533.

335130000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×3351300002 = 224624233800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (335130001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24415 + ... + 35585.

Almost surely, 2335130000 is an apocalyptic number.

335130000 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 335130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540970584).

335130000 is an abundant number, since it is smaller than the sum of its proper divisors (746811168).

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

335130000 is a wasteful number, since it uses less digits than its factorization.

335130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11202 (or 11181 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 15.

The square root of 335130000 is about 18306.5562026286. The cubic root of 335130000 is about 694.6047819404.

Adding to 335130000 its reverse (31533), we get a palindrome (335161533).

The spelling of 335130000 in words is "three hundred thirty-five million, one hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 11171 15000 22342 30000 33513 44684 55855 67026 89368 111710 134052 167565 178736 223420 268104 279275 335130 446840 536208 558550 670260 837825 893680 1117100 1340520 1396375 1675650 2234200 2681040 2792750 3351300 4189125 4468400 5585500 6702600 6981875 8378250 11171000 13405200 13963750 16756500 20945625 22342000 27927500 33513000 41891250 55855000 67026000 83782500 111710000 167565000 335130000