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133312340 = 22572136033
BaseRepresentation
bin1111111001000…
…10111101010100
3100021211222011002
413330202331110
5233111443330
621121202432
73206064500
oct774427524
9307758132
10133312340
1169284597
1238790418
1321808355
14139c3300
15ba84e45
hex7f22f54

133312340 has 36 divisors (see below), whose sum is σ = 325665396. Its totient is φ = 45706752.

The previous prime is 133312337. The next prime is 133312343. The reversal of 133312340 is 43213331.

133312340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (133312337) and next prime (133312343).

It can be written as a sum of positive squares in 2 ways, for example, as 17405584 + 115906756 = 4172^2 + 10766^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133312343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67037 + ... + 68996.

It is an arithmetic number, because the mean of its divisors is an integer number (9046261).

Almost surely, 2133312340 is an apocalyptic number.

133312340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133312340 is an abundant number, since it is smaller than the sum of its proper divisors (192353056).

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

133312340 is a wasteful number, since it uses less digits than its factorization.

133312340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136056 (or 136047 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 133312340 is about 11546.0963100089. The cubic root of 133312340 is about 510.8461412061.

Adding to 133312340 its reverse (43213331), we get a palindrome (176525671).

Subtracting from 133312340 its reverse (43213331), we obtain a palindrome (90099009).

The spelling of 133312340 in words is "one hundred thirty-three million, three hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 136033 272066 544132 680165 952231 1360330 1904462 2720660 3808924 4761155 6665617 9522310 13331234 19044620 26662468 33328085 66656170 133312340