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342498745728 = 27321739771759
BaseRepresentation
bin1001111101111101000…
…01000001110110000000
31012202001022210222222200
410332332201001312000
521102414134330403
6421201452433200
733513303206166
oct4767641016600
91182038728880
10342498745728
11122286681a57
1256466178800
13263b3791729
1412811515236
158d98724ca3
hex4fbe841d80

342498745728 has 192 divisors, whose sum is σ = 992851516800. Its totient is φ = 113325686784.

The previous prime is 342498745727. The next prime is 342498745751. The reversal of 342498745728 is 827547894243.

It is a happy number.

342498745728 is a `hidden beast` number, since 3 + 4 + 2 + 498 + 74 + 5 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342498745727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194711313 + ... + 194713071.

It is an arithmetic number, because the mean of its divisors is an integer number (5171101650).

Almost surely, 2342498745728 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 342498745728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496425758400).

342498745728 is an abundant number, since it is smaller than the sum of its proper divisors (650352771072).

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

342498745728 is a wasteful number, since it uses less digits than its factorization.

342498745728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2929 (or 2914 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 63.

The spelling of 342498745728 in words is "three hundred forty-two billion, four hundred ninety-eight million, seven hundred forty-five thousand, seven hundred twenty-eight".