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2344034120 = 235175935813
BaseRepresentation
bin1000101110110111…
…0001111101001000
320001100201021022112
42023231301331020
514300033042440
61024332441452
7112041650501
oct21355617510
96040637275
102344034120
11aa316758a
12555019288
132b4821c4c
14183451ba8
15dabbd965
hex8bb71f48

2344034120 has 64 divisors (see below), whose sum is σ = 5594695920. Its totient is φ = 880820224.

The previous prime is 2344034113. The next prime is 2344034131. The reversal of 2344034120 is 214304432.

It can be written as a sum of positive squares in 8 ways, for example, as 1702222564 + 641811556 = 41258^2 + 25334^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400334 + ... + 406146.

Almost surely, 22344034120 is an apocalyptic number.

2344034120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2344034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797347960).

2344034120 is an abundant number, since it is smaller than the sum of its proper divisors (3250661800).

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

2344034120 is a wasteful number, since it uses less digits than its factorization.

2344034120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6434 (or 6430 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2344034120 is about 48415.2261174106. The cubic root of 2344034120 is about 1328.3768844300.

Adding to 2344034120 its reverse (214304432), we get a palindrome (2558338552).

The spelling of 2344034120 in words is "two billion, three hundred forty-four million, thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 593 680 1186 2372 2965 4744 5813 5930 10081 11626 11860 20162 23252 23720 29065 40324 46504 50405 58130 80648 98821 100810 116260 197642 201620 232520 395284 403240 494105 790568 988210 1976420 3447109 3952840 6894218 13788436 17235545 27576872 34471090 58600853 68942180 117201706 137884360 234403412 293004265 468806824 586008530 1172017060 2344034120