Search a number
-
+
330313212 = 2232233671087
BaseRepresentation
bin10011101100000…
…010110111111100
3212000112122112200
4103230002313330
51134030010322
652435431500
711120421165
oct2354026774
9760478480
10330313212
1115a4a9229
1292755590
1353582508
1431c2476c
151deea8ac
hex13b02dfc

330313212 has 72 divisors (see below), whose sum is σ = 874438656. Its totient is φ = 104933664.

The previous prime is 330313169. The next prime is 330313241. The reversal of 330313212 is 212313033.

330313212 is a `hidden beast` number, since 330 + 313 + 21 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303333 + ... + 304419.

Almost surely, 2330313212 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 330313212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437219328).

330313212 is an abundant number, since it is smaller than the sum of its proper divisors (544125444).

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

330313212 is a wasteful number, since it uses less digits than its factorization.

330313212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1482 counting only the distinct ones).

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

The square root of 330313212 is about 18174.5209565479. The cubic root of 330313212 is about 691.2608829071.

Adding to 330313212 its reverse (212313033), we get a palindrome (542626245).

It can be divided in two parts, 3303 and 13212, that multiplied together give a square (43639236 = 66062).

The spelling of 330313212 in words is "three hundred thirty million, three hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 367 414 734 828 1087 1101 1468 2174 2202 3261 3303 4348 4404 6522 6606 8441 9783 13044 13212 16882 19566 25001 25323 33764 39132 50002 50646 75003 75969 100004 101292 150006 151938 225009 300012 303876 398929 450018 797858 900036 1196787 1595716 2393574 3590361 4787148 7180722 9175367 14361444 18350734 27526101 36701468 55052202 82578303 110104404 165156606 330313212