Search a number
-
+
350960961 = 313101139641
BaseRepresentation
bin10100111010110…
…011110101000001
3220110101122221010
4110322303311001
51204321222321
654454151133
711461055541
oct2472636501
9813348833
10350960961
1117012118a
12996524a9
1357931710
143487b321
1520c28676
hex14eb3d41

350960961 has 32 divisors (see below), whose sum is σ = 513394560. Its totient is φ = 211968000.

The previous prime is 350960959. The next prime is 350960993. The reversal of 350960961 is 169069053.

It is not a de Polignac number, because 350960961 - 21 = 350960959 is a prime.

It is a super-2 number, since 2×3509609612 = 246347192292087042, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a house number.

It is not an unprimeable number, because it can be changed into a prime (350980961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 547201 + ... + 547841.

It is an arithmetic number, because the mean of its divisors is an integer number (16043580).

Almost surely, 2350960961 is an apocalyptic number.

It is an amenable number.

350960961 is a deficient number, since it is larger than the sum of its proper divisors (162433599).

350960961 is a wasteful number, since it uses less digits than its factorization.

350960961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897.

The product of its (nonzero) digits is 43740, while the sum is 39.

The square root of 350960961 is about 18733.9520923910. The cubic root of 350960961 is about 705.3742532797.

The spelling of 350960961 in words is "three hundred fifty million, nine hundred sixty thousand, nine hundred sixty-one".

Divisors: 1 3 13 39 101 139 303 417 641 1313 1807 1923 3939 5421 8333 14039 24999 42117 64741 89099 182507 194223 267297 547521 841633 1158287 2524899 3474861 8998999 26996997 116986987 350960961