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830415963 = 31321292717
BaseRepresentation
bin110001011111110…
…010010001011011
32010212120111112210
4301133302101123
53200041302323
6214222410203
726402263536
oct6137622133
92125514483
10830415963
11396825893
121b2130963
131030722c0
147c405a1d
154cd84293
hex317f245b

830415963 has 8 divisors (see below), whose sum is σ = 1192392208. Its totient is φ = 511025184.

The previous prime is 830415877. The next prime is 830415967. The reversal of 830415963 is 369514038.

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

It is not a de Polignac number, because 830415963 - 216 = 830350427 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 21292717 = 830415963 / (8 + 3 + 0 + 4 + 1 + 5 + 9 + 6 + 3).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (830415967) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10646320 + ... + 10646397.

It is an arithmetic number, because the mean of its divisors is an integer number (149049026).

Almost surely, 2830415963 is an apocalyptic number.

830415963 is a deficient number, since it is larger than the sum of its proper divisors (361976245).

830415963 is a wasteful number, since it uses less digits than its factorization.

830415963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21292733.

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 830415963 is about 28816.9388207700. The cubic root of 830415963 is about 939.9366046728.

The spelling of 830415963 in words is "eight hundred thirty million, four hundred fifteen thousand, nine hundred sixty-three".

Divisors: 1 3 13 39 21292717 63878151 276805321 830415963