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830433973 = 18112373709
BaseRepresentation
bin110001011111110…
…110101010110101
32010212121102020211
4301133312222311
53200042341343
6214223025421
726402400205
oct6137665265
92125542224
10830433973
11396838376
121b213b271
1310307a565
147c40c405
154cd8979d
hex317f6ab5

830433973 has 8 divisors (see below), whose sum is σ = 835922360. Its totient is φ = 824955840.

The previous prime is 830433971. The next prime is 830433977. The reversal of 830433973 is 379334038.

It can be written as a sum of positive squares in 4 ways, for example, as 3411409 + 827022564 = 1847^2 + 28758^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 830433973 - 21 = 830433971 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830433971) 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, 222043 + ... + 225751.

It is an arithmetic number, because the mean of its divisors is an integer number (104490295).

Almost surely, 2830433973 is an apocalyptic number.

It is an amenable number.

830433973 is a deficient number, since it is larger than the sum of its proper divisors (5488387).

830433973 is a wasteful number, since it uses less digits than its factorization.

830433973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5127.

The product of its (nonzero) digits is 163296, while the sum is 40.

The square root of 830433973 is about 28817.2513088948. The cubic root of 830433973 is about 939.9433997156.

The spelling of 830433973 in words is "eight hundred thirty million, four hundred thirty-three thousand, nine hundred seventy-three".

Divisors: 1 181 1237 3709 223897 671329 4588033 830433973