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330029112 = 2337347853
BaseRepresentation
bin10011101010111…
…101100000111000
3212000000012211110
4103222331200320
51133441412422
652425400320
711115126000
oct2352754070
9760005743
10330029112
1115a324836
12926390a0
13534b30ca
1431b8d000
151de9160c
hex13abd838

330029112 has 128 divisors (see below), whose sum is σ = 983808000. Its totient is φ = 92179584.

The previous prime is 330029111. The next prime is 330029113. The reversal of 330029112 is 211920033.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (330029111) and next prime (330029113).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330029111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386478 + ... + 387330.

It is an arithmetic number, because the mean of its divisors is an integer number (7686000).

Almost surely, 2330029112 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 330029112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491904000).

330029112 is an abundant number, since it is smaller than the sum of its proper divisors (653778888).

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

330029112 is a wasteful number, since it uses less digits than its factorization.

330029112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 330029112 is about 18166.7033883421. The cubic root of 330029112 is about 691.0626432360.

Adding to 330029112 its reverse (211920033), we get a palindrome (541949145).

The spelling of 330029112 in words is "three hundred thirty million, twenty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 49 56 84 94 98 141 147 168 188 196 282 294 329 343 376 392 564 588 658 686 853 987 1029 1128 1176 1316 1372 1706 1974 2058 2303 2559 2632 2744 3412 3948 4116 4606 5118 5971 6824 6909 7896 8232 9212 10236 11942 13818 16121 17913 18424 20472 23884 27636 32242 35826 40091 41797 47768 48363 55272 64484 71652 80182 83594 96726 120273 125391 128968 143304 160364 167188 193452 240546 250782 280637 292579 320728 334376 386904 481092 501564 561274 585158 841911 877737 962184 1003128 1122548 1170316 1683822 1755474 1964459 2245096 2340632 3367644 3510948 3928918 5893377 6735288 7021896 7857836 11786754 13751213 15715672 23573508 27502426 41253639 47147016 55004852 82507278 110009704 165014556 330029112