Search a number
-
+
350369994 = 231319223541
BaseRepresentation
bin10100111000100…
…011100011001010
3220102021122021110
4110320203203022
51204143314434
654433351150
711453044602
oct2470434312
9812248243
10350369994
1116a858187
12994084b6
1357785730
1434765c02
1520b5d4e9
hex14e238ca

350369994 has 96 divisors (see below), whose sum is σ = 832616064. Its totient is φ = 97511040.

The previous prime is 350369993. The next prime is 350370011. The reversal of 350369994 is 499963053.

It is a happy number.

It is a super-3 number, since 3×3503699943 (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (350369993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 647364 + ... + 647904.

It is an arithmetic number, because the mean of its divisors is an integer number (8673084).

Almost surely, 2350369994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350369994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416308032).

350369994 is an abundant number, since it is smaller than the sum of its proper divisors (482246070).

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

350369994 is a wasteful number, since it uses less digits than its factorization.

350369994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 48.

The square root of 350369994 is about 18718.1728274957. The cubic root of 350369994 is about 704.9781151096.

The spelling of 350369994 in words is "three hundred fifty million, three hundred sixty-nine thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 13 19 23 26 38 39 46 57 69 78 114 138 247 299 361 437 494 541 598 722 741 874 897 1082 1083 1311 1482 1623 1794 2166 2622 3246 4693 5681 7033 8303 9386 10279 11362 12443 14066 14079 16606 17043 20558 21099 24886 24909 28158 30837 34086 37329 42198 49818 61674 74658 107939 133627 161759 195301 215878 236417 267254 323518 323817 390602 400881 472834 485277 585903 647634 709251 801762 970554 1171806 1418502 2538913 3073421 4491923 5077826 6146842 7616739 8983846 9220263 13475769 15233478 18440526 26951538 58394999 116789998 175184997 350369994