Search a number
-
+
354740871168 = 21336191311
BaseRepresentation
bin1010010100110000011…
…01000010000000000000
31020220122111112102000000
411022120031002000000
521303002130334133
6430544332000000
734425544440045
oct5123015020000
91226574472000
10354740871168
11127498a78aa2
1258902000000
13275b4b3c638
141325335d1cc
159363371413
hex5298342000

354740871168 has 392 divisors, whose sum is σ = 1072678104576. Its totient is φ = 117249638400.

The previous prime is 354740871161. The next prime is 354740871253. The reversal of 354740871168 is 861178047453.

354740871168 is a `hidden beast` number, since 3 + 5 + 4 + 7 + 408 + 71 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (354740871161) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1140645733 + ... + 1140646043.

Almost surely, 2354740871168 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 354740871168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536339052288).

354740871168 is an abundant number, since it is smaller than the sum of its proper divisors (717937233408).

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

354740871168 is an frugal number, since it uses more digits than its factorization.

354740871168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 354740871168 in words is "three hundred fifty-four billion, seven hundred forty million, eight hundred seventy-one thousand, one hundred sixty-eight".