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334343214001 = 2774013010013
BaseRepresentation
bin1001101110110000110…
…10001001001110110001
31011221222221202001200001
410313120122021032301
520434213330322001
6413332315230001
733104223266566
oct4673032111661
91157887661601
10334343214001
11119881034295
125496aa48301
13256b3c63904
141227a32286d
158a6c756001
hex4dd86893b1

334343214001 has 8 divisors (see below), whose sum is σ = 336387124584. Its totient is φ = 332305324800.

The previous prime is 334343213989. The next prime is 334343214031. The reversal of 334343214001 is 100412343433.

It can be written as a sum of positive squares in 4 ways, for example, as 205875450225 + 128467763776 = 453735^2 + 358424^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 334343214001 - 25 = 334343213969 is a prime.

It is a super-2 number, since 2×3343432140012 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (334343214031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1393930 + ... + 1616083.

It is an arithmetic number, because the mean of its divisors is an integer number (42048390573).

Almost surely, 2334343214001 is an apocalyptic number.

It is an amenable number.

334343214001 is a deficient number, since it is larger than the sum of its proper divisors (2043910583).

334343214001 is a wasteful number, since it uses less digits than its factorization.

334343214001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010691.

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 334343214001 its reverse (100412343433), we get a palindrome (434755557434).

The spelling of 334343214001 in words is "three hundred thirty-four billion, three hundred forty-three million, two hundred fourteen thousand, one".

Divisors: 1 277 401 111077 3010013 833773601 1207015213 334343214001