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1315342440 = 2332510734147
BaseRepresentation
bin100111001100110…
…1000100001101000
310101200001022121200
41032121220201220
510143211424230
6334304204200
744411140416
oct11631504150
93350038550
101315342440
11615527275
12308609660
1317c67a449
14c69962b6
157a721160
hex4e668868

1315342440 has 96 divisors (see below), whose sum is σ = 4314941280. Its totient is φ = 347469696.

The previous prime is 1315342409. The next prime is 1315342447. The reversal of 1315342440 is 442435131.

It is a happy number.

1315342440 is a `hidden beast` number, since 1 + 315 + 342 + 4 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (1315342447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21447 + ... + 55593.

It is an arithmetic number, because the mean of its divisors is an integer number (44947305).

Almost surely, 21315342440 is an apocalyptic number.

1315342440 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 1315342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157470640).

1315342440 is an abundant number, since it is smaller than the sum of its proper divisors (2999598840).

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

1315342440 is a wasteful number, since it uses less digits than its factorization.

1315342440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34271 (or 34264 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1315342440 is about 36267.6500479422. The cubic root of 1315342440 is about 1095.6695973354.

Adding to 1315342440 its reverse (442435131), we get a palindrome (1757777571).

The spelling of 1315342440 in words is "one billion, three hundred fifteen million, three hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 107 120 180 214 321 360 428 535 642 856 963 1070 1284 1605 1926 2140 2568 3210 3852 4280 4815 6420 7704 9630 12840 19260 34147 38520 68294 102441 136588 170735 204882 273176 307323 341470 409764 512205 614646 682940 819528 1024410 1229292 1365880 1536615 2048820 2458584 3073230 3653729 4097640 6146460 7307458 10961187 12292920 14614916 18268645 21922374 29229832 32883561 36537290 43844748 54805935 65767122 73074580 87689496 109611870 131534244 146149160 164417805 219223740 263068488 328835610 438447480 657671220 1315342440