Search a number
-
+
342076939776 = 2936111321729
BaseRepresentation
bin1001111101001010101…
…11111101111000000000
31012200221221010001000000
410332211113331320000
521101033144033101
6421051544000000
733466662004215
oct4764527757000
91180857101000
10342076939776
1112208a5729a0
1256368a60000
1326347286a00
14127b14b5b0c
158d716a5486
hex4fa55fde00

342076939776 has 1680 divisors, whose sum is σ = 1325933951760. Its totient is φ = 86951854080.

The previous prime is 342076939751. The next prime is 342076939811. The reversal of 342076939776 is 677939670243.

342076939776 is a `hidden beast` number, since 34 + 207 + 6 + 9 + 397 + 7 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 11795756530 + ... + 11795756558.

Almost surely, 2342076939776 is an apocalyptic number.

342076939776 is a gapful number since it is divisible by the number (36) 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 342076939776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662966975880).

342076939776 is an abundant number, since it is smaller than the sum of its proper divisors (983857011984).

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

342076939776 is a wasteful number, since it uses less digits than its factorization.

342076939776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 72013536, while the sum is 63.

The spelling of 342076939776 in words is "three hundred forty-two billion, seventy-six million, nine hundred thirty-nine thousand, seven hundred seventy-six".