Search a number
-
+
2034234334001 = 41464910672289
BaseRepresentation
bin11101100110100001110…
…100001001101100110001
321012110201021210012121102
4131212201310021230301
5231312102442142001
64154303033334145
7266653136354012
oct35464164115461
97173637705542
102034234334001
11714794281701
1228a2b8b67355
13119a9ac66a3c
147065940b009
1537dad718e6b
hex1d9a1d09b31

2034234334001 has 8 divisors (see below), whose sum is σ = 2084298237000. Its totient is φ = 1984191784960.

The previous prime is 2034234333953. The next prime is 2034234334007. The reversal of 2034234334001 is 1004334324302.

It can be written as a sum of positive squares in 4 ways, for example, as 10944298225 + 2023290035776 = 104615^2 + 1422424^2 .

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 2034234334001 - 238 = 1759356427057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2034234334007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5145536 + ... + 5526753.

It is an arithmetic number, because the mean of its divisors is an integer number (260537279625).

Almost surely, 22034234334001 is an apocalyptic number.

It is an amenable number.

2034234334001 is a deficient number, since it is larger than the sum of its proper divisors (50063902999).

2034234334001 is a wasteful number, since it uses less digits than its factorization.

2034234334001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10676979.

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 2034234334001 its reverse (1004334324302), we get a palindrome (3038568658303).

The spelling of 2034234334001 in words is "two trillion, thirty-four billion, two hundred thirty-four million, three hundred thirty-four thousand, one".

Divisors: 1 41 4649 190609 10672289 437563849 49615471561 2034234334001