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1315010340 = 2232573767421
BaseRepresentation
bin100111001100001…
…0111011100100100
310101122102110001200
41032120113130210
510143120312330
6334253122500
744405255250
oct11630273444
93348373050
101315010340
1161531a806
12308489430
1317c592237
14c690b260
157a6a7a60
hex4e617724

1315010340 has 288 divisors, whose sum is σ = 4763076864. Its totient is φ = 287400960.

The previous prime is 1315010317. The next prime is 1315010341. The reversal of 1315010340 is 430105131.

1315010340 is a `hidden beast` number, since 1 + 315 + 0 + 10 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1315010341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3123330 + ... + 3123750.

Almost surely, 21315010340 is an apocalyptic number.

1315010340 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 1315010340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381538432).

1315010340 is an abundant number, since it is smaller than the sum of its proper divisors (3448066524).

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

1315010340 is a wasteful number, since it uses less digits than its factorization.

1315010340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1315010340 is about 36263.0712984987. The cubic root of 1315010340 is about 1095.5773773704.

Adding to 1315010340 its reverse (430105131), we get a palindrome (1745115471).

The spelling of 1315010340 in words is "one billion, three hundred fifteen million, ten thousand, three hundred forty".