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342823456416 = 253710315132801
BaseRepresentation
bin1001111110100011101…
…11101100111010100000
31012202212221211000022110
410333101313230322200
521104100301101131
6421254012235320
733524325204450
oct4772167547240
91182787730273
10342823456416
111224329a39a1
1256536a6bb40
1326435b31b2c
14128426bbd60
158db6eb5646
hex4fd1decea0

342823456416 has 192 divisors, whose sum is σ = 1045364576256. Its totient is φ = 96353280000.

The previous prime is 342823456343. The next prime is 342823456439. The reversal of 342823456416 is 614654328243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10435216 + ... + 10468016.

It is an arithmetic number, because the mean of its divisors is an integer number (5444607168).

Almost surely, 2342823456416 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 342823456416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522682288128).

342823456416 is an abundant number, since it is smaller than the sum of its proper divisors (702541119840).

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

342823456416 is a wasteful number, since it uses less digits than its factorization.

342823456416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33075 (or 33067 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 48.

The spelling of 342823456416 in words is "three hundred forty-two billion, eight hundred twenty-three million, four hundred fifty-six thousand, four hundred sixteen".