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342806875488 = 25347112417127
BaseRepresentation
bin1001111110100001110…
…00011100110101100000
31012202211210121121120000
410333100320130311200
521104032030003423
6421252221020000
733524034235530
oct4772070346540
91182753547500
10342806875488
111224245a9450
12565313b4600
1326432577a2c
14128404034c0
158db57dc843
hex4fd0e1cd60

342806875488 has 480 divisors, whose sum is σ = 1262351236608. Its totient is φ = 88658841600.

The previous prime is 342806875441. The next prime is 342806875511. The reversal of 342806875488 is 884578608243.

342806875488 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 0 + 6 + 87 + 548 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48096181 + ... + 48103307.

Almost surely, 2342806875488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342806875488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631175618304).

342806875488 is an abundant number, since it is smaller than the sum of its proper divisors (919544361120).

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

342806875488 is a wasteful number, since it uses less digits than its factorization.

342806875488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7408 (or 7391 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 342806875488 in words is "three hundred forty-two billion, eight hundred six million, eight hundred seventy-five thousand, four hundred eighty-eight".