Search a number
-
+
330334140 = 223517312337
BaseRepresentation
bin10011101100000…
…111111110111100
3212000120201020210
4103230013332330
51134031143030
652440112420
711120536203
oct2354077674
9760521223
10330334140
1115a512a24
1292765710
135358bbb6
1431c2c23a
151e001bb0
hex13b07fbc

330334140 has 144 divisors (see below), whose sum is σ = 1014957216. Its totient is φ = 79994880.

The previous prime is 330334139. The next prime is 330334141. The reversal of 330334140 is 41433033.

It is an interprime number because it is at equal distance from previous prime (330334139) and next prime (330334141).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330334141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 980052 + ... + 980388.

It is an arithmetic number, because the mean of its divisors is an integer number (7048314).

Almost surely, 2330334140 is an apocalyptic number.

330334140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330334140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507478608).

330334140 is an abundant number, since it is smaller than the sum of its proper divisors (684623076).

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

330334140 is a wasteful number, since it uses less digits than its factorization.

330334140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 330334140 is about 18175.0966985048. The cubic root of 330334140 is about 691.2754815786.

Adding to 330334140 its reverse (41433033), we get a palindrome (371767173).

It can be divided in two parts, 33033 and 4140, that added together give a palindrome (37173).

The spelling of 330334140 in words is "three hundred thirty million, three hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 85 93 102 124 155 170 186 204 255 310 337 340 372 465 510 527 620 674 930 961 1011 1020 1054 1348 1581 1685 1860 1922 2022 2108 2635 2883 3162 3370 3844 4044 4805 5055 5270 5729 5766 6324 6740 7905 9610 10110 10447 10540 11458 11532 14415 15810 16337 17187 19220 20220 20894 22916 28645 28830 31341 31620 32674 34374 41788 49011 52235 57290 57660 62682 65348 68748 81685 85935 98022 104470 114580 125364 156705 163370 171870 177599 196044 208940 245055 313410 323857 326740 343740 355198 490110 532797 626820 647714 710396 887995 971571 980220 1065594 1295428 1619285 1775990 1943142 2131188 2663985 3238570 3551980 3886284 4857855 5327970 5505569 6477140 9715710 10655940 11011138 16516707 19431420 22022276 27527845 33033414 55055690 66066828 82583535 110111380 165167070 330334140