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330101240 = 23572179907
BaseRepresentation
bin10011101011001…
…111000111111000
3212000010212202212
4103223033013320
51134001214430
652431114252
711115546200
oct2353170770
9760125685
10330101240
1115a373a47
1292672988
1353509ba1
1431bab400
151dea7b95
hex13acf1f8

330101240 has 96 divisors (see below), whose sum is σ = 914904720. Its totient is φ = 106509312.

The previous prime is 330101227. The next prime is 330101249. The reversal of 330101240 is 42101033.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330101249) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 28367 + ... + 38273.

Almost surely, 2330101240 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 330101240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457452360).

330101240 is an abundant number, since it is smaller than the sum of its proper divisors (584803480).

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

330101240 is a wasteful number, since it uses less digits than its factorization.

330101240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9949 (or 9938 counting only the distinct ones).

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

The square root of 330101240 is about 18168.6884501881. The cubic root of 330101240 is about 691.1129835785.

Adding to 330101240 its reverse (42101033), we get a palindrome (372202273).

The spelling of 330101240 in words is "three hundred thirty million, one hundred one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 49 56 68 70 85 98 119 136 140 170 196 238 245 280 340 392 476 490 595 680 833 952 980 1190 1666 1960 2380 3332 4165 4760 6664 8330 9907 16660 19814 33320 39628 49535 69349 79256 99070 138698 168419 198140 277396 336838 346745 396280 485443 554792 673676 693490 842095 970886 1178933 1347352 1386980 1684190 1941772 2357866 2427215 2773960 3368380 3883544 4715732 4854430 5894665 6736760 8252531 9431464 9708860 11789330 16505062 19417720 23578660 33010124 41262655 47157320 66020248 82525310 165050620 330101240