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3224380140 = 22325171278297
BaseRepresentation
bin1100000000110000…
…0010001011101100
322022201020111000200
43000030002023230
523100420131030
61251541353500
7142621531122
oct30014021354
98281214020
103224380140
111405095583
1275ba08890
133c5026857
14228333912
1513d116d60
hexc03022ec

3224380140 has 144 divisors (see below), whose sum is σ = 10438751232. Its totient is φ = 802787328.

The previous prime is 3224380139. The next prime is 3224380141. The reversal of 3224380140 is 410834223.

It is an interprime number because it is at equal distance from previous prime (3224380139) and next prime (3224380141).

It is not an unprimeable number, because it can be changed into a prime (3224380141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 384472 + ... + 392768.

It is an arithmetic number, because the mean of its divisors is an integer number (72491328).

Almost surely, 23224380140 is an apocalyptic number.

3224380140 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 3224380140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5219375616).

3224380140 is an abundant number, since it is smaller than the sum of its proper divisors (7214371092).

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

3224380140 is a wasteful number, since it uses less digits than its factorization.

3224380140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8456 (or 8451 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3224380140 is about 56783.6256327473. The cubic root of 3224380140 is about 1477.3455188191.

The spelling of 3224380140 in words is "three billion, two hundred twenty-four million, three hundred eighty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 127 153 170 180 204 254 255 306 340 381 508 510 612 635 762 765 1020 1143 1270 1524 1530 1905 2159 2286 2540 3060 3810 4318 4572 5715 6477 7620 8297 8636 10795 11430 12954 16594 19431 21590 22860 24891 25908 32385 33188 38862 41485 43180 49782 64770 74673 77724 82970 97155 99564 124455 129540 141049 149346 165940 194310 248910 282098 298692 373365 388620 423147 497820 564196 705245 746730 846294 1053719 1269441 1410490 1493460 1692588 2107438 2115735 2538882 2820980 3161157 4214876 4231470 5077764 5268595 6322314 6347205 8462940 9483471 10537190 12644628 12694410 15805785 17913223 18966942 21074380 25388820 31611570 35826446 37933884 47417355 53739669 63223140 71652892 89566115 94834710 107479338 161219007 179132230 189669420 214958676 268698345 322438014 358264460 537396690 644876028 806095035 1074793380 1612190070 3224380140