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350808016 = 24131739749
BaseRepresentation
bin10100111010001…
…110011111010000
3220110002220010111
4110322032133100
51204301324031
654451011104
711456550616
oct2472163720
9813086114
10350808016
11170027289
1299599a94
13578a9c10
143483b6b6
1520be81b1
hex14e8e7d0

350808016 has 40 divisors (see below), whose sum is σ = 736281000. Its totient is φ = 160958976.

The previous prime is 350807917. The next prime is 350808019. The reversal of 350808016 is 610808053.

It can be written as a sum of positive squares in 4 ways, for example, as 19713600 + 331094416 = 4440^2 + 18196^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350808019) 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, 31110 + ... + 40858.

It is an arithmetic number, because the mean of its divisors is an integer number (18407025).

Almost surely, 2350808016 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 350808016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368140500).

350808016 is an abundant number, since it is smaller than the sum of its proper divisors (385472984).

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

350808016 is a wasteful number, since it uses less digits than its factorization.

350808016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9943 (or 9937 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 350808016 is about 18729.8696204752. The cubic root of 350808016 is about 705.2717735622.

The spelling of 350808016 in words is "three hundred fifty million, eight hundred eight thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 173 208 346 692 1384 2249 2768 4498 8996 9749 17992 19498 35984 38996 77992 126737 155984 253474 506948 1013896 1686577 2027792 3373154 6746308 13492616 21925501 26985232 43851002 87702004 175404008 350808016