Search a number
-
+
350150031 = 3272111929131
BaseRepresentation
bin10100110111101…
…101110110001111
3220101212110112200
4110313231312033
51204114300111
654424532543
711451140400
oct2467556617
9811773480
10350150031
1116a7179a0
1299321153
135770958a
14347099a7
1520b18256
hex14dedd8f

350150031 has 144 divisors (see below), whose sum is σ = 704246400. Its totient is φ = 165110400.

The previous prime is 350150029. The next prime is 350150039. The reversal of 350150031 is 130051053.

It is a happy number.

It is not a de Polignac number, because 350150031 - 21 = 350150029 is a prime.

It is a super-2 number, since 2×3501500312 = 245210088418601922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 350149986 and 350150013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350150039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2672836 + ... + 2672966.

It is an arithmetic number, because the mean of its divisors is an integer number (4890600).

Almost surely, 2350150031 is an apocalyptic number.

350150031 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

350150031 is a wasteful number, since it uses less digits than its factorization.

350150031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 350150031 is about 18712.2962513958. The cubic root of 350150031 is about 704.8305553242.

The spelling of 350150031 in words is "three hundred fifty million, one hundred fifty thousand, thirty-one".

Divisors: 1 3 7 9 11 19 21 29 33 49 57 63 77 87 99 131 133 147 171 203 209 231 261 319 393 399 441 539 551 609 627 693 917 931 957 1179 1197 1421 1441 1463 1617 1653 1827 1881 2233 2489 2751 2793 2871 3799 3857 4263 4323 4389 4851 4959 6061 6419 6699 7467 8253 8379 10087 10241 11397 11571 12789 12969 13167 15631 17423 18183 19257 20097 22401 26593 26999 27379 30261 30723 34191 34713 41789 42427 46893 52269 54549 57771 70609 72181 79779 80997 82137 90783 92169 121961 125367 127281 140679 156807 186151 191653 211827 216543 239337 242991 246411 292523 296989 365883 376101 381843 505267 558453 574959 635481 649629 793991 877569 890967 1097649 1341571 1515801 1675359 1724877 2047661 2381973 2632707 2672901 3536869 4024713 4547403 5557937 6142983 7145919 10610607 12074139 16673811 18428949 31831821 38905559 50021433 116716677 350150031