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3420344342224 = 242617271330109
BaseRepresentation
bin110001110001011100011…
…010001101011011010000
3110002222111200022022102101
4301301130122031123100
5422014331122422344
611135141241330144
7502053215133145
oct61613432153320
913088450268371
103420344342224
1110a9618238547
12472a76496954
131ba6c9c9aa64
14bb78cdb83cc
155de872259d4
hex31c5c68d6d0

3420344342224 has 40 divisors (see below), whose sum is σ = 6632113269320. Its totient is φ = 1708831807488.

The previous prime is 3420344342209. The next prime is 3420344342243. The reversal of 3420344342224 is 4222434430243.

It can be written as a sum of positive squares in 4 ways, for example, as 2323088092224 + 1097256250000 = 1524168^2 + 1047500^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113583682 + ... + 113613790.

It is an arithmetic number, because the mean of its divisors is an integer number (165802831733).

Almost surely, 23420344342224 is an apocalyptic number.

It is an amenable number.

3420344342224 is a deficient number, since it is larger than the sum of its proper divisors (3211768927096).

3420344342224 is a wasteful number, since it uses less digits than its factorization.

3420344342224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35447 (or 35441 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 37.

Adding to 3420344342224 its reverse (4222434430243), we get a palindrome (7642778772467).

The spelling of 3420344342224 in words is "three trillion, four hundred twenty billion, three hundred forty-four million, three hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 2617 2713 5234 5426 10468 10852 20936 21704 30109 41872 43408 60218 120436 240872 481744 7099921 14199842 28399684 56799368 78795253 81685717 113598736 157590506 163371434 315181012 326742868 630362024 653485736 1260724048 1306971472 213771521389 427543042778 855086085556 1710172171112 3420344342224