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2343677072 = 241121796763
BaseRepresentation
bin1000101110110001…
…1010110010010000
320001100001010112112
42023230122302100
514244440131242
61024321044452
7112035632522
oct21354326220
96040033475
102343677072
11aa2a43300
12554a86728
132b4728589
1418339ba12
15dab4cc82
hex8bb1ac90

2343677072 has 60 divisors (see below), whose sum is σ = 5019834960. Its totient is φ = 1059199680.

The previous prime is 2343677071. The next prime is 2343677093. The reversal of 2343677072 is 2707763432.

It is not an unprimeable number, because it can be changed into a prime (2343677071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 343163 + ... + 349925.

It is an arithmetic number, because the mean of its divisors is an integer number (83663916).

Almost surely, 22343677072 is an apocalyptic number.

2343677072 is a gapful number since it is divisible by the number (22) 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 2343677072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509917480).

2343677072 is an abundant number, since it is smaller than the sum of its proper divisors (2676157888).

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

2343677072 is a wasteful number, since it uses less digits than its factorization.

2343677072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6972 (or 6955 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 41.

The square root of 2343677072 is about 48411.5386245883. The cubic root of 2343677072 is about 1328.3094339906.

The spelling of 2343677072 in words is "two billion, three hundred forty-three million, six hundred seventy-seven thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 179 242 358 484 716 968 1432 1936 1969 2864 3938 6763 7876 13526 15752 21659 27052 31504 43318 54104 74393 86636 108208 148786 173272 297572 346544 595144 818323 1190288 1210577 1636646 2421154 3273292 4842308 6546584 9684616 13093168 13316347 19369232 26632694 53265388 106530776 146479817 213061552 292959634 585919268 1171838536 2343677072