Search a number
-
+
350132272 = 24717307599
BaseRepresentation
bin10100110111101…
…001100000110000
3220101211120011221
4110313221200300
51204113213042
654424314424
711451034540
oct2467514060
9811746157
10350132272
1116a705616
1299312a14
1357701479
1434703320
1520b12d67
hex14de9830

350132272 has 80 divisors (see below), whose sum is σ = 824947200. Its totient is φ = 140534784.

The previous prime is 350132261. The next prime is 350132303. The reversal of 350132272 is 272231053.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 584229 + ... + 584827.

It is an arithmetic number, because the mean of its divisors is an integer number (10311840).

Almost surely, 2350132272 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 350132272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412473600).

350132272 is an abundant number, since it is smaller than the sum of its proper divisors (474814928).

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

350132272 is a wasteful number, since it uses less digits than its factorization.

350132272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 350132272 is about 18711.8217178339. The cubic root of 350132272 is about 704.8186391965.

The spelling of 350132272 in words is "three hundred fifty million, one hundred thirty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 307 476 599 614 952 1198 1228 1904 2149 2396 2456 4193 4298 4792 4912 5219 8386 8596 9584 10183 10438 16772 17192 20366 20876 33544 34384 36533 40732 41752 67088 71281 73066 81464 83504 142562 146132 162928 183893 285124 292264 367786 570248 584528 735572 1140496 1287251 1471144 2574502 2942288 3126181 5149004 6252362 10298008 12504724 20596016 21883267 25009448 43766534 50018896 87533068 175066136 350132272