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1230382440 = 233357162749
BaseRepresentation
bin100100101010110…
…0010010101101000
310011202011220102000
41021111202111220
510004434214230
6322031211000
742330035550
oct11125422550
93152156360
101230382440
115815785a1
122a4076a60
13167ba1561
14b959c160
157303cb60
hex49562568

1230382440 has 128 divisors (see below), whose sum is σ = 4687200000. Its totient is φ = 281228544.

The previous prime is 1230382409. The next prime is 1230382459. The reversal of 1230382440 is 442830321.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73815 + ... + 88934.

It is an arithmetic number, because the mean of its divisors is an integer number (36618750).

Almost surely, 21230382440 is an apocalyptic number.

1230382440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1230382440 is an abundant number, since it is smaller than the sum of its proper divisors (3456817560).

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

1230382440 is a wasteful number, since it uses less digits than its factorization.

1230382440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162776 (or 162766 counting only the distinct ones).

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

The square root of 1230382440 is about 35076.8077224824. The cubic root of 1230382440 is about 1071.5523047959.

The spelling of 1230382440 in words is "one billion, two hundred thirty million, three hundred eighty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 162749 325498 488247 650996 813745 976494 1139243 1301992 1464741 1627490 1952988 2278486 2441235 2929482 3254980 3417729 3905976 4394223 4556972 4882470 5696215 5858964 6509960 6835458 7323705 8788446 9113944 9764940 10253187 11392430 11717928 13670916 14647410 17088645 17576892 19529880 20506374 21971115 22784860 27341832 29294820 30759561 34177290 35153784 41012748 43942230 45569720 51265935 58589640 61519122 68354580 82025496 87884460 102531870 123038244 136709160 153797805 175768920 205063740 246076488 307595610 410127480 615191220 1230382440