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340215022001 = 1725212259529
BaseRepresentation
bin1001111001101100110…
…01010100000110110001
31012112011011120210222102
410330312121110012301
521033230021201001
6420143112350145
733402562654421
oct4746631240661
91175134523872
10340215022001
11121314568578
1255b293a5355
132610b5c7b0a
14126760c2481
158cb2ebae6b
hex4f366541b1

340215022001 has 12 divisors (see below), whose sum is σ = 362098720620. Its totient is φ = 319587640320.

The previous prime is 340215021989. The next prime is 340215022003. The reversal of 340215022001 is 100220512043.

It can be written as a sum of positive squares in 6 ways, for example, as 3228966976 + 336986055025 = 56824^2 + 580505^2 .

It is not a de Polignac number, because 340215022001 - 238 = 65337115057 is a prime.

It is a super-2 number, since 2×3402150220012 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (340215022003) 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 11 ways as a sum of consecutive naturals, for example, 979196 + ... + 1280333.

It is an arithmetic number, because the mean of its divisors is an integer number (30174893385).

Almost surely, 2340215022001 is an apocalyptic number.

It is an amenable number.

340215022001 is a deficient number, since it is larger than the sum of its proper divisors (21883698619).

340215022001 is a wasteful number, since it uses less digits than its factorization.

340215022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260084 (or 2260067 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 340215022001 its reverse (100220512043), we get a palindrome (440435534044).

The spelling of 340215022001 in words is "three hundred forty billion, two hundred fifteen million, twenty-two thousand, one".

Divisors: 1 17 289 521 8857 150569 2259529 38411993 653003881 1177214609 20012648353 340215022001