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34344442044 = 22331122628133
BaseRepresentation
bin11111111111000101…
…101001100010111100
310021122112010102111000
4133333011221202330
51030314134121134
623435544330300
72324041640433
oct377705514274
9107575112430
1034344442044
11136245a6700
1267a5a73990
133314474c73
14193b42011a
15d6023ae99
hex7ff1698bc

34344442044 has 72 divisors (see below), whose sum is σ = 97871710160. Its totient is φ = 10407402720.

The previous prime is 34344442043. The next prime is 34344442091. The reversal of 34344442044 is 44024444343.

34344442044 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 444 + 204 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34344442043) 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, 1300999 + ... + 1327134.

Almost surely, 234344442044 is an apocalyptic number.

It is an amenable number.

34344442044 is an abundant number, since it is smaller than the sum of its proper divisors (63527268116).

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

34344442044 is a wasteful number, since it uses less digits than its factorization.

34344442044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628168 (or 2628149 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 34344442044 its reverse (44024444343), we get a palindrome (78368886387).

The spelling of 34344442044 in words is "thirty-four billion, three hundred forty-four million, four hundred forty-two thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1452 2178 3267 4356 6534 13068 2628133 5256266 7884399 10512532 15768798 23653197 28909463 31537596 47306394 57818926 70959591 86728389 94612788 115637852 141919182 173456778 260185167 283838364 318004093 346913556 520370334 636008186 780555501 954012279 1040740668 1272016372 1561111002 1908024558 2862036837 3122222004 3816049116 5724073674 8586110511 11448147348 17172221022 34344442044