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807047344 = 241971139269
BaseRepresentation
bin110000000110101…
…001000010110000
32002020121020211101
4300012221002300
53123101003334
6212025454144
725666534465
oct6006510260
92066536741
10807047344
11384614684
121a6341354
13cb27c80c
147928166c
154acba214
hex301a90b0

807047344 has 80 divisors (see below), whose sum is σ = 1687392000. Its totient is φ = 372798720.

The previous prime is 807047303. The next prime is 807047347. The reversal of 807047344 is 443740708.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (807047347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3000042 + ... + 3000310.

It is an arithmetic number, because the mean of its divisors is an integer number (21092400).

Almost surely, 2807047344 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 807047344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843696000).

807047344 is an abundant number, since it is smaller than the sum of its proper divisors (880344656).

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

807047344 is a wasteful number, since it uses less digits than its factorization.

807047344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 37.

The square root of 807047344 is about 28408.5787043280. The cubic root of 807047344 is about 931.0357074360.

The spelling of 807047344 in words is "eight hundred seven million, forty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 38 71 76 139 142 152 269 278 284 304 538 556 568 1076 1112 1136 1349 2152 2224 2641 2698 4304 5111 5282 5396 9869 10222 10564 10792 19099 19738 20444 21128 21584 37391 38198 39476 40888 42256 74782 76396 78952 81776 149564 152792 157904 187511 299128 305584 362881 375022 598256 710429 725762 750044 1420858 1451524 1500088 2654761 2841716 2903048 3000176 5309522 5683432 5806096 10619044 11366864 21238088 42476176 50440459 100880918 201761836 403523672 807047344