Search a number
-
+
133410330 = 23251482337
BaseRepresentation
bin1111111001110…
…10111000011010
3100022000221120100
413330322320122
5233123112310
621123240230
73206653254
oct774727032
9308027510
10133410330
1169341179
1238819076
1321840b31
1413a0acd4
15baa3ec0
hex7f3ae1a

133410330 has 24 divisors (see below), whose sum is σ = 346867092. Its totient is φ = 35576064.

The previous prime is 133410323. The next prime is 133410359. The reversal of 133410330 is 33014331.

133410330 is a `hidden beast` number, since 1 + 334 + 1 + 0 + 330 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 130028409 + 3381921 = 11403^2 + 1839^2 .

It is a super-3 number, since 3×1334103303 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 741079 + ... + 741258.

Almost surely, 2133410330 is an apocalyptic number.

133410330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133410330 is an abundant number, since it is smaller than the sum of its proper divisors (213456762).

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

133410330 is a wasteful number, since it uses less digits than its factorization.

133410330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482350 (or 1482347 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 133410330 is about 11550.3389560653. The cubic root of 133410330 is about 510.9712747923.

Adding to 133410330 its reverse (33014331), we get a palindrome (166424661).

It can be divided in two parts, 1334 and 10330, that added together give a square (11664 = 1082).

The spelling of 133410330 in words is "one hundred thirty-three million, four hundred ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1482337 2964674 4447011 7411685 8894022 13341033 14823370 22235055 26682066 44470110 66705165 133410330