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1230140340 = 22325111347791
BaseRepresentation
bin100100101010010…
…0111001110110100
310011201201121022100
41021110213032310
510004403442330
6322022102100
742325006662
oct11124471664
93151647270
101230140340
11581422710
122a3b7a930
13167b182c0
14b9537c32
1572ee1060
hex495273b4

1230140340 has 144 divisors (see below), whose sum is σ = 4383864576. Its totient is φ = 275270400.

The previous prime is 1230140333. The next prime is 1230140377. The reversal of 1230140340 is 430410321.

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, 1845 + ... + 49635.

It is an arithmetic number, because the mean of its divisors is an integer number (30443504).

Almost surely, 21230140340 is an apocalyptic number.

1230140340 is a gapful number since it is divisible by the number (10) 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 1230140340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191932288).

1230140340 is an abundant number, since it is smaller than the sum of its proper divisors (3153724236).

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

1230140340 is a wasteful number, since it uses less digits than its factorization.

1230140340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47830 (or 47825 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1230140340 is about 35073.3565545130. The cubic root of 1230140340 is about 1071.4820177529.

Adding to 1230140340 its reverse (430410321), we get a palindrome (1660550661).

The spelling of 1230140340 in words is "one billion, two hundred thirty million, one hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 286 330 390 396 429 468 495 572 585 660 715 780 858 990 1170 1287 1430 1716 1980 2145 2340 2574 2860 4290 5148 6435 8580 12870 25740 47791 95582 143373 191164 238955 286746 430119 477910 525701 573492 621283 716865 860238 955820 1051402 1242566 1433730 1577103 1720476 1863849 2102804 2150595 2485132 2628505 2867460 3106415 3154206 3727698 4301190 4731309 5257010 5591547 6212830 6308412 6834113 7455396 7885515 8602380 9319245 9462618 10514020 11183094 12425660 13668226 15771030 18638490 18925236 20502339 22366188 23656545 27336452 27957735 31542060 34170565 37276980 41004678 47313090 55915470 61507017 68341130 82009356 94626180 102511695 111830940 123014034 136682260 205023390 246028068 307535085 410046780 615070170 1230140340