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342080653824 = 29327133532311
BaseRepresentation
bin1001111101001011001…
…10001000101000000000
31012200222012002201201100
410332211212020220000
521101040121410244
6421052155334400
733500035403310
oct4764546105000
91180865081640
10342080653824
1112209167a358
125636a151400
1326347c87380
14127b1ba1440
158d71b8ab69
hex4fa5988a00

342080653824 has 480 divisors, whose sum is σ = 1219068474624. Its totient is φ = 89924567040.

The previous prime is 342080653807. The next prime is 342080653829. The reversal of 342080653824 is 428356080243.

342080653824 is a `hidden beast` number, since 3 + 4 + 208 + 0 + 65 + 382 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 342080653824.

It is not an unprimeable number, because it can be changed into a prime (342080653829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148021629 + ... + 148023939.

Almost surely, 2342080653824 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 342080653824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609534237312).

342080653824 is an abundant number, since it is smaller than the sum of its proper divisors (876987820800).

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

342080653824 is a wasteful number, since it uses less digits than its factorization.

342080653824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 342080653824 in words is "three hundred forty-two billion, eighty million, six hundred fifty-three thousand, eight hundred twenty-four".