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3434204024343 = 327910147822813
BaseRepresentation
bin110001111110010110100…
…000101100111000010111
3110011022021120202010001100
4301332112200230320113
5422231222212234333
611145352422401143
7503053530365511
oct61762640547027
913138246663040
103434204024343
11110448a707894
124756a3b901b3
131bbac84ba9b1
14bc3059a6bb1
155e4e8d8d213
hex31f9682ce17

3434204024343 has 24 divisors (see below), whose sum is σ = 5073044109120. Its totient is φ = 2238107601600.

The previous prime is 3434204024333. The next prime is 3434204024347.

3434204024343 is a `hidden beast` number, since 34 + 342 + 0 + 4 + 0 + 243 + 43 = 666.

3434204024343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3434204024343 - 25 = 3434204024311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3434204024298 and 3434204024307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434204024347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23839596 + ... + 23983217.

It is an arithmetic number, because the mean of its divisors is an integer number (211376837880).

Almost surely, 23434204024343 is an apocalyptic number.

3434204024343 is a deficient number, since it is larger than the sum of its proper divisors (1638840084777).

3434204024343 is a wasteful number, since it uses less digits than its factorization.

3434204024343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47822999 (or 47822996 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

The spelling of 3434204024343 in words is "three trillion, four hundred thirty-four billion, two hundred four million, twenty-four thousand, three hundred forty-three".

Divisors: 1 3 9 79 101 237 303 711 909 7979 23937 71811 47822813 143468439 430405317 3778002227 4830104113 11334006681 14490312339 34002020043 43470937017 381578224927 1144734674781 3434204024343