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34024414334420 = 2251924712522761
BaseRepresentation
bin1111011110001111011010…
…01000010100110111010100
311110110200221221021011002102
413233013231020110313110
513424424000032200140
6200210333345101232
710111116463666016
oct757075510246724
9143420857234072
1034024414334420
11a928744971504
1239961ab627818
1315ca647323cc3
14858b0cd7c1b6
153e00be31ae15
hex1ef1ed214dd4

34024414334420 has 36 divisors (see below), whose sum is σ = 75409789237524. Its totient is φ = 12893462271360.

The previous prime is 34024414334377. The next prime is 34024414334447. The reversal of 34024414334420 is 2443341442043.

It can be written as a sum of positive squares in 2 ways, for example, as 24049353312196 + 9975061022224 = 4904014^2 + 3158332^2 .

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2356254161 + ... + 2356268600.

It is an arithmetic number, because the mean of its divisors is an integer number (2094716367709).

Almost surely, 234024414334420 is an apocalyptic number.

It is an amenable number.

34024414334420 is an abundant number, since it is smaller than the sum of its proper divisors (41385374903104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34024414334420 is a wasteful number, since it uses less digits than its factorization.

34024414334420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4712522808 (or 4712522787 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 38.

Adding to 34024414334420 its reverse (2443341442043), we get a palindrome (36467755776463).

The spelling of 34024414334420 in words is "thirty-four trillion, twenty-four billion, four hundred fourteen million, three hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 3610 7220 4712522761 9425045522 18850091044 23562613805 47125227610 89537932459 94250455220 179075864918 358151729836 447689662295 895379324590 1701220716721 1790758649180 3402441433442 6804882866884 8506103583605 17012207167210 34024414334420