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830144452 = 221013535821
BaseRepresentation
bin110001011110101…
…111111111000100
32010212001201002211
4301132233333010
53200004110302
6214212513204
726400053134
oct6136577704
92125051084
10830144452
1139665a8a5
121b201b804
13102ca8847
147c374ac4
154cd2dad7
hex317affc4

830144452 has 24 divisors (see below), whose sum is σ = 1471545432. Its totient is φ = 409728000.

The previous prime is 830144423. The next prime is 830144453. The reversal of 830144452 is 254441038.

It can be written as a sum of positive squares in 4 ways, for example, as 465869056 + 364275396 = 21584^2 + 19086^2 .

It is a super-2 number, since 2×8301444522 = 1378279622372760608, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (830144453) 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 7 ways as a sum of consecutive naturals, for example, 139702 + ... + 145522.

It is an arithmetic number, because the mean of its divisors is an integer number (61314393).

Almost surely, 2830144452 is an apocalyptic number.

It is an amenable number.

830144452 is a deficient number, since it is larger than the sum of its proper divisors (641400980).

830144452 is a wasteful number, since it uses less digits than its factorization.

830144452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6279 (or 6277 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 830144452 is about 28812.2274737654. The cubic root of 830144452 is about 939.8341536292.

The spelling of 830144452 in words is "eight hundred thirty million, one hundred forty-four thousand, four hundred fifty-two".

Divisors: 1 2 4 101 202 353 404 706 1412 5821 11642 23284 35653 71306 142612 587921 1175842 2054813 2351684 4109626 8219252 207536113 415072226 830144452