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3434340434343 = 371337714788733
BaseRepresentation
bin110001111110011110101…
…001000100000110100111
3110011022122002102110101120
4301332132221010012213
5422232012122344333
611145414134225023
7503060105014350
oct61763651040647
913138562373346
103434340434343
11110454a707725
124757217b5173
131bbb1a83bc80
14bc319b54d27
155e505d35db3
hex31f9ea441a7

3434340434343 has 64 divisors (see below), whose sum is σ = 5869685348352. Its totient is φ = 1737735068160.

The previous prime is 3434340434341. The next prime is 3434340434353.

3434340434343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3434340434343 - 21 = 3434340434341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3434340434295 and 3434340434304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434340434341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1677196 + ... + 3111537.

It is an arithmetic number, because the mean of its divisors is an integer number (91713833568).

Almost surely, 23434340434343 is an apocalyptic number.

3434340434343 is a deficient number, since it is larger than the sum of its proper divisors (2435344914009).

3434340434343 is a wasteful number, since it uses less digits than its factorization.

3434340434343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4788864.

The product of its (nonzero) digits is 2985984, while the sum is 42.

It can be divided in two parts, 3434340 and 434343, that added together give a palindrome (3868683).

The spelling of 3434340434343 in words is "three trillion, four hundred thirty-four billion, three hundred forty million, four hundred thirty-four thousand, three hundred forty-three".

Divisors: 1 3 7 13 21 37 39 71 91 111 213 259 273 481 497 777 923 1443 1491 2627 2769 3367 6461 7881 10101 18389 19383 34151 55167 102453 239057 717171 4788733 14366199 33521131 62253529 100563393 177183121 186760587 340000043 435774703 531549363 1020000129 1240281847 1307324109 2303380573 2380000301 3720845541 4420000559 6910141719 7140000903 12580001591 13260001677 16123664011 30940003913 37740004773 48370992033 88060011137 92820011739 163540020683 264180033411 490620062049 1144780144781 3434340434343