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330104120 = 235314143151
BaseRepresentation
bin10011101011001…
…111110100111000
3212000011000201112
4103223033310320
51134001312440
652431135452
711115560453
oct2353176470
9760130645
10330104120
1115a376125
1292674588
135350b2a8
1431bac49a
151dea8965
hex13acfd38

330104120 has 128 divisors (see below), whose sum is σ = 808980480. Its totient is φ = 120960000.

The previous prime is 330104111. The next prime is 330104141. The reversal of 330104120 is 21401033.

It is a junction number, because it is equal to n+sod(n) for n = 330104095 and 330104104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2186045 + ... + 2186195.

It is an arithmetic number, because the mean of its divisors is an integer number (6320160).

Almost surely, 2330104120 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 330104120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404490240).

330104120 is an abundant number, since it is smaller than the sum of its proper divisors (478876360).

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

330104120 is a wasteful number, since it uses less digits than its factorization.

330104120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 330104120 is about 18168.7677072497. The cubic root of 330104120 is about 691.1149934665.

Adding to 330104120 its reverse (21401033), we get a palindrome (351505153).

The spelling of 330104120 in words is "three hundred thirty million, one hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 41 43 62 82 86 124 151 155 164 172 205 215 248 302 310 328 344 410 430 604 620 755 820 860 1208 1240 1271 1333 1510 1640 1720 1763 2542 2666 3020 3526 4681 5084 5332 6040 6191 6355 6493 6665 7052 8815 9362 10168 10664 12382 12710 12986 13330 14104 17630 18724 23405 24764 25420 25972 26660 30955 32465 35260 37448 46810 49528 50840 51944 53320 54653 61910 64930 70520 93620 109306 123820 129860 187240 191921 201283 218612 247640 259720 266213 273265 383842 402566 437224 532426 546530 767684 805132 959605 1006415 1064852 1093060 1331065 1535368 1610264 1919210 2012830 2129704 2186120 2662130 3838420 4025660 5324260 7676840 8051320 8252603 10648520 16505206 33010412 41263015 66020824 82526030 165052060 330104120