Search a number
-
+
1244024320 = 2957116311
BaseRepresentation
bin100101000100110…
…0100111000000000
310012200211222112211
41022021210320000
510021432234240
6323235431504
742554014030
oct11211447000
93180758484
101244024320
11589245980
122a8755594
1316a969986
14bb30d8c0
1574334bea
hex4a264e00

1244024320 has 160 divisors (see below), whose sum is σ = 3719333376. Its totient is φ = 387686400.

The previous prime is 1244024311. The next prime is 1244024329. The reversal of 1244024320 is 234204421.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1244024311) and next prime (1244024329).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1244024291 and 1244024300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1244024329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193965 + ... + 200275.

Almost surely, 21244024320 is an apocalyptic number.

1244024320 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 1244024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859666688).

1244024320 is an abundant number, since it is smaller than the sum of its proper divisors (2475309056).

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

1244024320 is an equidigital number, since it uses as much as digits as its factorization.

1244024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6352 (or 6336 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 1244024320 is about 35270.7289405819. The cubic root of 1244024320 is about 1075.4980407233.

Adding to 1244024320 its reverse (234204421), we get a palindrome (1478228741).

The spelling of 1244024320 in words is "one billion, two hundred forty-four million, twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 256 280 308 320 352 385 440 448 512 560 616 640 704 770 880 896 1120 1232 1280 1408 1540 1760 1792 2240 2464 2560 2816 3080 3520 3584 4480 4928 5632 6160 6311 7040 8960 9856 12320 12622 14080 17920 19712 24640 25244 28160 31555 39424 44177 49280 50488 63110 69421 88354 98560 100976 126220 138842 176708 197120 201952 220885 252440 277684 347105 353416 403904 441770 485947 504880 555368 694210 706832 807808 883540 971894 1009760 1110736 1388420 1413664 1615616 1767080 1943788 2019520 2221472 2429735 2776840 2827328 3231232 3534160 3887576 4039040 4442944 4859470 5553680 5654656 7068320 7775152 8078080 8885888 9718940 11107360 11309312 14136640 15550304 16156160 17771776 19437880 22214720 22618624 28273280 31100608 35543552 38875760 44429440 56546560 62201216 77751520 88858880 113093120 124402432 155503040 177717760 248804864 311006080 622012160 1244024320