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330430140 = 2232519791223
BaseRepresentation
bin10011101100011…
…111011010111100
3212000202120221100
4103230133122330
51134042231030
652442133100
711121416115
oct2354373274
9760676840
10330430140
1115a579067
12927b1190
13535c37c1
1431c5520c
151e020360
hex13b1f6bc

330430140 has 144 divisors (see below), whose sum is σ = 1069286400. Its totient is φ = 82353024.

The previous prime is 330430127. The next prime is 330430157. The reversal of 330430140 is 41034033.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269569 + ... + 270791.

It is an arithmetic number, because the mean of its divisors is an integer number (7425600).

Almost surely, 2330430140 is an apocalyptic number.

330430140 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 330430140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534643200).

330430140 is an abundant number, since it is smaller than the sum of its proper divisors (738856260).

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

330430140 is a wasteful number, since it uses less digits than its factorization.

330430140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 330430140 is about 18177.7374829763. The cubic root of 330430140 is about 691.3424400616.

Adding to 330430140 its reverse (41034033), we get a palindrome (371464173).

The spelling of 330430140 in words is "three hundred thirty million, four hundred thirty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 79 90 95 114 158 171 180 190 228 237 285 316 342 380 395 474 570 684 711 790 855 948 1140 1185 1223 1422 1501 1580 1710 2370 2446 2844 3002 3420 3555 3669 4503 4740 4892 6004 6115 7110 7338 7505 9006 11007 12230 13509 14220 14676 15010 18012 18345 22014 22515 23237 24460 27018 30020 36690 44028 45030 46474 54036 55035 67545 69711 73380 90060 92948 96617 110070 116185 135090 139422 193234 209133 220140 232370 270180 278844 289851 348555 386468 418266 464740 483085 579702 697110 836532 869553 966170 1045665 1159404 1394220 1449255 1739106 1835723 1932340 2091330 2898510 3478212 3671446 4182660 4347765 5507169 5797020 7342892 8695530 9178615 11014338 16521507 17391060 18357230 22028676 27535845 33043014 36714460 55071690 66086028 82607535 110143380 165215070 330430140