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1344463160 = 235239411553
BaseRepresentation
bin101000000100010…
…1110000100111000
310110200211210201212
41100020232010320
510223140310120
6341224302252
745213514445
oct12010560470
93420753655
101344463160
1162aa07087
12316311988
13185705141
14ca7b69cc
157d0746c5
hex5022e138

1344463160 has 64 divisors (see below), whose sum is σ = 3161954880. Its totient is φ = 513525760.

The previous prime is 1344463151. The next prime is 1344463163. The reversal of 1344463160 is 613644431.

It is a super-3 number, since 3×13444631603 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344463163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 864944 + ... + 866496.

It is an arithmetic number, because the mean of its divisors is an integer number (49405545).

Almost surely, 21344463160 is an apocalyptic number.

1344463160 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 1344463160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580977440).

1344463160 is an abundant number, since it is smaller than the sum of its proper divisors (1817491720).

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

1344463160 is a wasteful number, since it uses less digits than its factorization.

1344463160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 1344463160 is about 36666.9218778997. The cubic root of 1344463160 is about 1103.6964241799.

The spelling of 1344463160 in words is "one billion, three hundred forty-four million, four hundred sixty-three thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 941 1553 1882 3106 3764 4705 6212 7528 7765 9410 12424 15530 18820 21643 31060 35719 37640 43286 62120 71438 86572 108215 142876 173144 178595 216430 285752 357190 432860 714380 865720 1428760 1461373 2922746 5845492 7306865 11690984 14613730 29227460 33611579 58454920 67223158 134446316 168057895 268892632 336115790 672231580 1344463160