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330144012 = 223411175449
BaseRepresentation
bin10011101011011…
…001100100001100
3212000020001110000
4103223121210030
51134004102022
652432044300
711116114662
oct2353314414
9760201400
10330144012
1115a3a30a0
1292693690
13535234b3
1431bbcc32
151deb56ac
hex13ad990c

330144012 has 120 divisors (see below), whose sum is σ = 997088400. Its totient is φ = 94141440.

The previous prime is 330143963. The next prime is 330144083. The reversal of 330144012 is 210441033.

It is a super-2 number, since 2×3301440122 = 217990137318912288, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57864 + ... + 63312.

It is an arithmetic number, because the mean of its divisors is an integer number (8309070).

Almost surely, 2330144012 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 330144012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498544200).

330144012 is an abundant number, since it is smaller than the sum of its proper divisors (666944388).

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

330144012 is a wasteful number, since it uses less digits than its factorization.

330144012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5493 (or 5482 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 330144012 is about 18169.8654920723. The cubic root of 330144012 is about 691.1428320051.

Adding to 330144012 its reverse (210441033), we get a palindrome (540585045).

The spelling of 330144012 in words is "three hundred thirty million, one hundred forty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 81 99 102 108 132 153 162 187 198 204 297 306 324 374 396 459 561 594 612 748 891 918 1122 1188 1377 1683 1782 1836 2244 2754 3366 3564 5049 5449 5508 6732 10098 10898 15147 16347 20196 21796 30294 32694 49041 59939 60588 65388 92633 98082 119878 147123 179817 185266 196164 239756 277899 294246 359634 370532 441369 539451 555798 588492 719268 833697 882738 1018963 1078902 1111596 1618353 1667394 1765476 2037926 2157804 2501091 3056889 3236706 3334788 4075852 4855059 5002182 6113778 6473412 7503273 9170667 9710118 10004364 12227556 15006546 18341334 19420236 27512001 30013092 36682668 55024002 82536003 110048004 165072006 330144012