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1244000340 = 22325114331451
BaseRepresentation
bin100101000100101…
…1111000001010100
310012200210202122200
41022021133001110
510021431002330
6323235124500
742553554102
oct11211370124
93180722580
101244000340
11589229960
122a8743730
1316a95ba9b
14bb304c72
157432ca60
hex4a25f054

1244000340 has 144 divisors (see below), whose sum is σ = 4128860736. Its totient is φ = 300672000.

The previous prime is 1244000339. The next prime is 1244000353. The reversal of 1244000340 is 430004421.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 856615 + ... + 858065.

It is an arithmetic number, because the mean of its divisors is an integer number (28672644).

Almost surely, 21244000340 is an apocalyptic number.

1244000340 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 1244000340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064430368).

1244000340 is an abundant number, since it is smaller than the sum of its proper divisors (2884860396).

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

1244000340 is a wasteful number, since it uses less digits than its factorization.

1244000340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1244000340 is about 35270.3889970043. The cubic root of 1244000340 is about 1075.4911301916.

Adding to 1244000340 its reverse (430004421), we get a palindrome (1674004761).

The spelling of 1244000340 in words is "one billion, two hundred forty-four million, three hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 433 495 660 866 990 1299 1451 1732 1980 2165 2598 2902 3897 4330 4353 4763 5196 5804 6495 7255 7794 8660 8706 9526 12990 13059 14289 14510 15588 15961 17412 19052 19485 21765 23815 25980 26118 28578 29020 31922 38970 42867 43530 47630 47883 52236 57156 63844 65295 71445 77940 79805 85734 87060 95260 95766 130590 142890 143649 159610 171468 191532 214335 239415 261180 285780 287298 319220 428670 478830 574596 628283 718245 857340 957660 1256566 1436490 1884849 2513132 2872980 3141415 3769698 5654547 6282830 6911113 7539396 9424245 11309094 12565660 13822226 18848490 20733339 22618188 27644452 28272735 34555565 37696980 41466678 56545470 62200017 69111130 82933356 103666695 113090940 124400034 138222260 207333390 248800068 311000085 414666780 622000170 1244000340