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1342127640 = 2335723137199
BaseRepresentation
bin100111111111111…
…0011111000011000
310110112110011000010
41033333303320120
510222041041030
6341102241520
745154616400
oct11777637030
93415404003
101342127640
116296613a7
123155862a0
13185098089
14ca369800
157cc626b0
hex4fff3e18

1342127640 has 384 divisors, whose sum is σ = 4990464000. Its totient is φ = 287400960.

The previous prime is 1342127623. The next prime is 1342127651. The reversal of 1342127640 is 467212431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1342127598 and 1342127607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6744261 + ... + 6744459.

It is an arithmetic number, because the mean of its divisors is an integer number (12996000).

Almost surely, 21342127640 is an apocalyptic number.

1342127640 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 1342127640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495232000).

1342127640 is an abundant number, since it is smaller than the sum of its proper divisors (3648336360).

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

1342127640 is a wasteful number, since it uses less digits than its factorization.

1342127640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 1342127640 is about 36635.0602565357. The cubic root of 1342127640 is about 1103.0569622240.

The spelling of 1342127640 in words is "one billion, three hundred forty-two million, one hundred twenty-seven thousand, six hundred forty".