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1342714240 = 27572383157
BaseRepresentation
bin101000000001000…
…0011000110000000
310110120112221200001
41100002003012000
510222213323430
6341123005344
745162611530
oct12002030600
93416487601
101342714240
11629a2209a
12315809854
1318524208a
14ca47d4c0
157cd2b3ca
hex50083180

1342714240 has 256 divisors, whose sum is σ = 3898782720. Its totient is φ = 432267264.

The previous prime is 1342714229. The next prime is 1342714267. The reversal of 1342714240 is 424172431.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1342714199 and 1342714208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8552242 + ... + 8552398.

It is an arithmetic number, because the mean of its divisors is an integer number (15229620).

Almost surely, 21342714240 is an apocalyptic number.

1342714240 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 1342714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949391360).

1342714240 is an abundant number, since it is smaller than the sum of its proper divisors (2556068480).

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

1342714240 is a wasteful number, since it uses less digits than its factorization.

1342714240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 1342714240 is about 36643.0653739558. The cubic root of 1342714240 is about 1103.2176421646.

Adding to 1342714240 its reverse (424172431), we get a palindrome (1766886671).

The spelling of 1342714240 in words is "one billion, three hundred forty-two million, seven hundred fourteen thousand, two hundred forty".