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34044444120 = 23351716688453
BaseRepresentation
bin11111101101001101…
…001111110111011000
310020212121121221200210
4133231031033313120
51024210334202440
623350110331120
72313440000061
oct375515176730
9106777557623
1034044444120
1113490223835
1267214b9aa0
1332972780bb
14190d64b568
15d43c2ca80
hex7ed34fdd8

34044444120 has 64 divisors (see below), whose sum is σ = 108141181920. Its totient is φ = 8544487424.

The previous prime is 34044444079. The next prime is 34044444127. The reversal of 34044444120 is 2144444043.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34044444127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8342187 + ... + 8346266.

Almost surely, 234044444120 is an apocalyptic number.

34044444120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34044444120 is an abundant number, since it is smaller than the sum of its proper divisors (74096737800).

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

34044444120 is a wasteful number, since it uses less digits than its factorization.

34044444120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16688484 (or 16688480 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 34044444120 its reverse (2144444043), we get a palindrome (36188888163).

The spelling of 34044444120 in words is "thirty-four billion, forty-four million, four hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 16688453 33376906 50065359 66753812 83442265 100130718 133507624 166884530 200261436 250326795 283703701 333769060 400522872 500653590 567407402 667538120 851111103 1001307180 1134814804 1418518505 1702222206 2002614360 2269629608 2837037010 3404444412 4255555515 5674074020 6808888824 8511111030 11348148040 17022222060 34044444120