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330114132 = 2232191134271
BaseRepresentation
bin10011101011010…
…010010001010100
3212000011112110100
4103223102101110
51134002123012
652431254100
711115631605
oct2353222124
9760145410
10330114132
1115a3826a7
129267a330
1353512a0a
1431bb1dac
151deab8dc
hex13ad2454

330114132 has 72 divisors (see below), whose sum is σ = 886354560. Its totient is φ = 103299840.

The previous prime is 330114131. The next prime is 330114173. The reversal of 330114132 is 231411033.

It is a super-2 number, since 2×3301141322 = 217950680292226848, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330114131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75157 + ... + 79427.

It is an arithmetic number, because the mean of its divisors is an integer number (12310480).

Almost surely, 2330114132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330114132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443177280).

330114132 is an abundant number, since it is smaller than the sum of its proper divisors (556240428).

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

330114132 is a wasteful number, since it uses less digits than its factorization.

330114132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4413 (or 4408 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 330114132 is about 18169.0432329278. The cubic root of 330114132 is about 691.1219805280.

Adding to 330114132 its reverse (231411033), we get a palindrome (561525165).

The spelling of 330114132 in words is "three hundred thirty million, one hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 113 114 171 226 228 339 342 452 678 684 1017 1356 2034 2147 4068 4271 4294 6441 8542 8588 12813 12882 17084 19323 25626 25764 38439 38646 51252 76878 77292 81149 153756 162298 243447 324596 482623 486894 730341 965246 973788 1447869 1460682 1930492 2895738 2921364 4343607 5791476 8687214 9169837 17374428 18339674 27509511 36679348 55019022 82528533 110038044 165057066 330114132