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350165214 = 23378311161
BaseRepresentation
bin10100110111110…
…001100011011110
3220101220020101000
4110313301203132
51204120241324
654425131130
711451232560
oct2467614336
9811806330
10350165214
1116a728343
1299329aa6
1357713469
1434711330
1520b1c9c9
hex14df18de

350165214 has 64 divisors (see below), whose sum is σ = 900103680. Its totient is φ = 98832960.

The previous prime is 350165213. The next prime is 350165267. The reversal of 350165214 is 412561053.

350165214 = 4682 + 4692 + ... + 10482.

350165214 is a `hidden beast` number, since 3 + 5 + 0 + 1 + 652 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350165213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25794 + ... + 36954.

It is an arithmetic number, because the mean of its divisors is an integer number (14064120).

Almost surely, 2350165214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350165214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450051840).

350165214 is an abundant number, since it is smaller than the sum of its proper divisors (549938466).

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

350165214 is a wasteful number, since it uses less digits than its factorization.

350165214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11262 (or 11256 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 350165214 is about 18712.7019427981. The cubic root of 350165214 is about 704.8407426598.

The spelling of 350165214 in words is "three hundred fifty million, one hundred sixty-five thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 83 126 166 189 249 378 498 581 747 1162 1494 1743 2241 3486 4482 5229 10458 11161 15687 22322 31374 33483 66966 78127 100449 156254 200898 234381 301347 468762 602694 703143 926363 1406286 1852726 2109429 2779089 4218858 5558178 6484541 8337267 12969082 16674534 19453623 25011801 38907246 50023602 58360869 116721738 175082607 350165214