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1344323040 = 253510327191
BaseRepresentation
bin101000000100000…
…1011110111100000
310110200120200112020
41100020023313200
510223121314130
6341221301440
745212362104
oct12010136740
93420520466
101344323040
1162a920885
12316264880
13185686428
14ca77b904
157d047e10
hex5020bde0

1344323040 has 96 divisors (see below), whose sum is σ = 4275887616. Its totient is φ = 354992640.

The previous prime is 1344323039. The next prime is 1344323077. The reversal of 1344323040 is 403234431.

It is a tau number, because it is divible by the number of its divisors (96).

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 1344323040.

It is a congruent number.

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, 35845 + ... + 63035.

It is an arithmetic number, because the mean of its divisors is an integer number (44540496).

Almost surely, 21344323040 is an apocalyptic number.

1344323040 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 1344323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137943808).

1344323040 is an abundant number, since it is smaller than the sum of its proper divisors (2931564576).

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

1344323040 is a wasteful number, since it uses less digits than its factorization.

1344323040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27312 (or 27304 counting only the distinct ones).

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

The square root of 1344323040 is about 36665.0111141399. The cubic root of 1344323040 is about 1103.6580804205.

Adding to 1344323040 its reverse (403234431), we get a palindrome (1747557471).

The spelling of 1344323040 in words is "one billion, three hundred forty-four million, three hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 103 120 160 206 240 309 412 480 515 618 824 1030 1236 1545 1648 2060 2472 3090 3296 4120 4944 6180 8240 9888 12360 16480 24720 27191 49440 54382 81573 108764 135955 163146 217528 271910 326292 407865 435056 543820 652584 815730 870112 1087640 1305168 1631460 2175280 2610336 2800673 3262920 4350560 5601346 6525840 8402019 11202692 13051680 14003365 16804038 22405384 28006730 33608076 42010095 44810768 56013460 67216152 84020190 89621536 112026920 134432304 168040380 224053840 268864608 336080760 448107680 672161520 1344323040