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3310132140 = 2232572839283
BaseRepresentation
bin1100010101001100…
…1001101110101100
322112200121010122200
43011103021232230
523234343212030
61304243341500
7145012442010
oct30523115654
98480533580
103310132140
1114495352a7
12784681890
13409a1c093
14235896540
15145904d60
hexc54c9bac

3310132140 has 144 divisors (see below), whose sum is σ = 11516913408. Its totient is φ = 753846912.

The previous prime is 3310132087. The next prime is 3310132157. The reversal of 3310132140 is 412310133.

3310132140 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 351939 + ... + 361221.

Almost surely, 23310132140 is an apocalyptic number.

3310132140 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 3310132140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5758456704).

3310132140 is an abundant number, since it is smaller than the sum of its proper divisors (8206781268).

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

3310132140 is a wasteful number, since it uses less digits than its factorization.

3310132140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9588 (or 9583 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3310132140 is about 57533.7478355096. The cubic root of 3310132140 is about 1490.3277119512.

Adding to 3310132140 its reverse (412310133), we get a palindrome (3722442273).

The spelling of 3310132140 in words is "three billion, three hundred ten million, one hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 283 315 420 566 630 849 1132 1260 1415 1698 1981 2547 2830 3396 3962 4245 5094 5660 5943 7924 8490 9283 9905 10188 11886 12735 16980 17829 18566 19810 23772 25470 27849 29715 35658 37132 39620 46415 50940 55698 59430 64981 71316 83547 89145 92830 111396 118860 129962 139245 167094 178290 185660 194943 259924 278490 324905 334188 356580 389886 417735 556980 584829 649810 779772 835470 974715 1169658 1299620 1670940 1949430 2339316 2627089 2924145 3898860 5254178 5848290 7881267 10508356 11696580 13135445 15762534 18389623 23643801 26270890 31525068 36779246 39406335 47287602 52541780 55168869 73558492 78812670 91948115 94575204 110337738 118219005 157625340 165506607 183896230 220675476 236438010 275844345 331013214 367792460 472876020 551688690 662026428 827533035 1103377380 1655066070 3310132140