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1343322240 = 27351353819
BaseRepresentation
bin101000000010001…
…0111100010000000
310110121200211200120
41100010113202000
510222342302430
6341144020240
745201023241
oct12004274200
93417624616
101343322240
1162a2a7977
12315a61680
131853c5a40
14ca59acc8
157cdeb610
hex50117880

1343322240 has 128 divisors (see below), whose sum is σ = 4611297600. Its totient is φ = 330657792.

The previous prime is 1343322229. The next prime is 1343322317. The reversal of 1343322240 is 422233431.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1343322240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1950 + ... + 51869.

Almost surely, 21343322240 is an apocalyptic number.

1343322240 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 1343322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305648800).

1343322240 is an abundant number, since it is smaller than the sum of its proper divisors (3267975360).

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

1343322240 is a wasteful number, since it uses less digits than its factorization.

1343322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53854 (or 53842 counting only the distinct ones).

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

The square root of 1343322240 is about 36651.3606841547. The cubic root of 1343322240 is about 1103.3841345547.

Adding to 1343322240 its reverse (422233431), we get a palindrome (1765555671).

The spelling of 1343322240 in words is "one billion, three hundred forty-three million, three hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4992 6240 8320 12480 24960 53819 107638 161457 215276 269095 322914 430552 538190 645828 699647 807285 861104 1076380 1291656 1399294 1614570 1722208 2098941 2152760 2583312 2798588 3229140 3444416 3498235 4197882 4305520 5166624 5597176 6458280 6888832 6996470 8395764 8611040 10333248 10494705 11194352 12916560 13992940 16791528 17222080 20666496 20989410 22388704 25833120 27985880 33583056 34444160 41978820 44777408 51666240 55971760 67166112 83957640 89554816 103332480 111943520 134332224 167915280 223887040 268664448 335830560 447774080 671661120 1343322240