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830240316 = 2232109721023
BaseRepresentation
bin110001011111000…
…111011000111100
32010212020120121100
4301133013120330
53200020142231
6214214533100
726400632463
oct6137073074
92125216540
10830240316
11396715924
121b2067190
13103010379
147c39b9da
154cd4c1e6
hex317c763c

830240316 has 36 divisors (see below), whose sum is σ = 2100676032. Its totient is φ = 276481344.

The previous prime is 830240293. The next prime is 830240329. The reversal of 830240316 is 613042038.

It is a happy number.

830240316 is a `hidden beast` number, since 8 + 302 + 40 + 316 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 830240316.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28981 + ... + 50003.

It is an arithmetic number, because the mean of its divisors is an integer number (58352112).

Almost surely, 2830240316 is an apocalyptic number.

It is an amenable number.

830240316 is an abundant number, since it is smaller than the sum of its proper divisors (1270435716).

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

830240316 is a wasteful number, since it uses less digits than its factorization.

830240316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22130 (or 22125 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 830240316 is about 28813.8910249900. The cubic root of 830240316 is about 939.8703291781.

The spelling of 830240316 in words is "eight hundred thirty million, two hundred forty thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 1097 2194 3291 4388 6582 9873 13164 19746 21023 39492 42046 63069 84092 126138 189207 252276 378414 756828 23062231 46124462 69186693 92248924 138373386 207560079 276746772 415120158 830240316