Search a number
-
+
3312120330 = 232536801337
BaseRepresentation
bin1100010101101010…
…1111001000001010
322112211100010221100
43011122233020022
523240400322310
61304354122230
7145035362331
oct30532571012
98484303840
103312120330
11144a673032
12785280376
1340a26701c
14235c52d18
15145b98ec0
hexc56af20a

3312120330 has 24 divisors (see below), whose sum is σ = 8611513092. Its totient is φ = 883232064.

The previous prime is 3312120323. The next prime is 3312120341. The reversal of 3312120330 is 330212133.

3312120330 is a `hidden beast` number, since 3 + 312 + 1 + 20 + 330 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3034797921 + 277322409 = 55089^2 + 16653^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18400579 + ... + 18400758.

Almost surely, 23312120330 is an apocalyptic number.

3312120330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3312120330 is an abundant number, since it is smaller than the sum of its proper divisors (5299392762).

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

3312120330 is a wasteful number, since it uses less digits than its factorization.

3312120330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36801350 (or 36801347 counting only the distinct ones).

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

The square root of 3312120330 is about 57551.0237094007. The cubic root of 3312120330 is about 1490.6260345443.

Adding to 3312120330 its reverse (330212133), we get a palindrome (3642332463).

The spelling of 3312120330 in words is "three billion, three hundred twelve million, one hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 36801337 73602674 110404011 184006685 220808022 331212033 368013370 552020055 662424066 1104040110 1656060165 3312120330