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1344430320 = 2435311371319
BaseRepresentation
bin101000000100010…
…0110000011110000
310110200210010200120
41100020212003300
510223133232240
6341223450240
745213316632
oct12010460360
93420703616
101344430320
1162a994442
123162b6980
131856c31cc
14ca7a8a52
157d069ad0
hex502260f0

1344430320 has 160 divisors (see below), whose sum is σ = 4336865280. Its totient is φ = 344156160.

The previous prime is 1344430319. The next prime is 1344430361. The reversal of 1344430320 is 230344431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1018621 + ... + 1019939.

It is an arithmetic number, because the mean of its divisors is an integer number (27105408).

Almost surely, 21344430320 is an apocalyptic number.

1344430320 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 1344430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168432640).

1344430320 is an abundant number, since it is smaller than the sum of its proper divisors (2992434960).

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

1344430320 is a wasteful number, since it uses less digits than its factorization.

1344430320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 1344430320 is about 36666.4740601002. The cubic root of 1344430320 is about 1103.6874377714.

Adding to 1344430320 its reverse (230344431), we get a palindrome (1574774751).

The spelling of 1344430320 in words is "one billion, three hundred forty-four million, four hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 137 155 186 240 248 274 310 372 411 465 496 548 620 685 744 822 930 1096 1240 1319 1370 1488 1644 1860 2055 2192 2480 2638 2740 3288 3720 3957 4110 4247 5276 5480 6576 6595 7440 7914 8220 8494 10552 10960 12741 13190 15828 16440 16988 19785 21104 21235 25482 26380 31656 32880 33976 39570 40889 42470 50964 52760 63312 63705 67952 79140 81778 84940 101928 105520 122667 127410 158280 163556 169880 180703 203856 204445 245334 254820 316560 327112 339760 361406 408890 490668 509640 542109 613335 654224 722812 817780 903515 981336 1019280 1084218 1226670 1445624 1635560 1807030 1962672 2168436 2453340 2710545 2891248 3271120 3614060 4336872 4906680 5421090 5601793 7228120 8673744 9813360 10842180 11203586 14456240 16805379 21684360 22407172 28008965 33610758 43368720 44814344 56017930 67221516 84026895 89628688 112035860 134443032 168053790 224071720 268886064 336107580 448143440 672215160 1344430320