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561734016 = 2731997351
BaseRepresentation
bin100001011110110…
…110000110000000
31110011000001012120
4201132312012000
52122300442031
6131423524240
716630442334
oct4136660600
91404001176
10561734016
112690a2098
12138159680
138c4bb3bc
14548657c4
15344aea96
hex217b6180

561734016 has 64 divisors (see below), whose sum is σ = 1499808000. Its totient is φ = 186278400.

The previous prime is 561734011. The next prime is 561734029. The reversal of 561734016 is 610437165.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561734011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72741 + ... + 80091.

It is an arithmetic number, because the mean of its divisors is an integer number (23434500).

Almost surely, 2561734016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561734016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749904000).

561734016 is an abundant number, since it is smaller than the sum of its proper divisors (938073984).

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

561734016 is a wasteful number, since it uses less digits than its factorization.

561734016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7567 (or 7555 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 561734016 is about 23700.9285894034. The cubic root of 561734016 is about 825.1069422433.

The spelling of 561734016 in words is "five hundred sixty-one million, seven hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 199 384 398 597 796 1194 1592 2388 3184 4776 6368 7351 9552 12736 14702 19104 22053 25472 29404 38208 44106 58808 76416 88212 117616 176424 235232 352848 470464 705696 940928 1411392 1462849 2822784 2925698 4388547 5851396 8777094 11702792 17554188 23405584 35108376 46811168 70216752 93622336 140433504 187244672 280867008 561734016