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350056098 = 232721372897
BaseRepresentation
bin10100110111010…
…110111010100010
3220101200200200200
4110313112322202
51204103243343
654422530030
711450266500
oct2467267242
9811620620
10350056098
1116a663367
1299296916
13576a58b2
14346c3670
1520aea4d3
hex14dd6ea2

350056098 has 72 divisors (see below), whose sum is σ = 889031052. Its totient is φ = 99251712.

The previous prime is 350056081. The next prime is 350056099. The reversal of 350056098 is 890650053.

350056098 is a `hidden beast` number, since 3 + 5 + 0 + 0 + 560 + 98 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 339185889 + 10870209 = 18417^2 + 3297^2 .

It is not an unprimeable number, because it can be changed into a prime (350056099) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 119386 + ... + 122282.

Almost surely, 2350056098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350056098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444515526).

350056098 is an abundant number, since it is smaller than the sum of its proper divisors (538974954).

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

350056098 is a wasteful number, since it uses less digits than its factorization.

350056098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3056 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 350056098 is about 18709.7861559132. The cubic root of 350056098 is about 704.7675225631.

The spelling of 350056098 in words is "three hundred fifty million, fifty-six thousand, ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 137 147 274 294 411 441 822 882 959 1233 1918 2466 2877 2897 5754 5794 6713 8631 8691 13426 17262 17382 20139 20279 26073 40278 40558 52146 60417 60837 120834 121674 141953 182511 283906 365022 396889 425859 793778 851718 1190667 1277577 2381334 2555154 2778223 3572001 5556446 7144002 8334669 16669338 19447561 25004007 38895122 50008014 58342683 116685366 175028049 350056098