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434340001221 = 3779261808319
BaseRepresentation
bin1100101001000001010…
…11100111010111000101
31112112002220100011210220
412110200223213113011
524104012020014341
6531311045334553
743244231044440
oct6244053472705
91475086304726
10434340001221
111582256755a5
1270217707459
1331c5bbb9ba9
1417044b88657
15b471558a66
hex6520ae75c5

434340001221 has 16 divisors (see below), whose sum is σ = 670229299200. Its totient is φ = 245052585648.

The previous prime is 434340001213. The next prime is 434340001231. The reversal of 434340001221 is 122100043434.

It is not a de Polignac number, because 434340001221 - 23 = 434340001213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 434340001191 and 434340001200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434340001231) 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 15 ways as a sum of consecutive naturals, for example, 130902501 + ... + 130905818.

It is an arithmetic number, because the mean of its divisors is an integer number (41889331200).

Almost surely, 2434340001221 is an apocalyptic number.

It is an amenable number.

434340001221 is a deficient number, since it is larger than the sum of its proper divisors (235889297979).

434340001221 is a wasteful number, since it uses less digits than its factorization.

434340001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261808408.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 434340001221 its reverse (122100043434), we get a palindrome (556440044655).

The spelling of 434340001221 in words is "four hundred thirty-four billion, three hundred forty million, one thousand, two hundred twenty-one".

Divisors: 1 3 7 21 79 237 553 1659 261808319 785424957 1832658233 5497974699 20682857201 62048571603 144780000407 434340001221