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3420204464341 = 73151211312967
BaseRepresentation
bin110001110001010100000…
…100100111100011010101
3110002222010221002210001001
4301301110010213203111
5422014034320324331
611135115323303301
7502046566162000
oct61612404474325
913088127083031
103420204464341
1110a955628a195
12472a3767ab31
131ba6a7004192
14bb7785a6537
155de79ce5561
hex31c541278d5

3420204464341 has 32 divisors (see below), whose sum is σ = 4034032332800. Its totient is φ = 2898378126000.

The previous prime is 3420204464323. The next prime is 3420204464371. The reversal of 3420204464341 is 1434644020243.

It is not a de Polignac number, because 3420204464341 - 27 = 3420204464213 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3420204464341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420204464311) 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 31 ways as a sum of consecutive naturals, for example, 10771840 + ... + 11084806.

It is an arithmetic number, because the mean of its divisors is an integer number (126063510400).

Almost surely, 23420204464341 is an apocalyptic number.

It is an amenable number.

3420204464341 is a deficient number, since it is larger than the sum of its proper divisors (613827868459).

3420204464341 is a wasteful number, since it uses less digits than its factorization.

3420204464341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313350 (or 313336 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 3420204464341 its reverse (1434644020243), we get a palindrome (4854848484584).

The spelling of 3420204464341 in words is "three trillion, four hundred twenty billion, two hundred four million, four hundred sixty-four thousand, three hundred forty-one".

Divisors: 1 7 49 151 211 343 1057 1477 7399 10339 31861 51793 72373 223027 312967 1561189 2190769 10928323 15335383 47258017 66036037 107347681 330806119 462252259 2315642833 3235765813 9971441587 16209499831 22650360691 69800091109 488600637763 3420204464341