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830353360 = 24523451279
BaseRepresentation
bin110001011111100…
…010111111010000
32010212110022200011
4301133202333100
53200032301420
6214221204304
726401613164
oct6137427720
92125408604
10830353360
11396792851
121b2100694
1310304c965
147c3caca4
154cd7095a
hex317e2fd0

830353360 has 40 divisors (see below), whose sum is σ = 2014513920. Its totient is φ = 317699712.

The previous prime is 830353351. The next prime is 830353369. The reversal of 830353360 is 63353038.

It is an interprime number because it is at equal distance from previous prime (830353351) and next prime (830353369).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830353369) 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, 223800 + ... + 227479.

It is an arithmetic number, because the mean of its divisors is an integer number (50362848).

Almost surely, 2830353360 is an apocalyptic number.

830353360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

830353360 is an abundant number, since it is smaller than the sum of its proper divisors (1184160560).

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

830353360 is a wasteful number, since it uses less digits than its factorization.

830353360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451315 (or 451309 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 31.

The square root of 830353360 is about 28815.8525815219. The cubic root of 830353360 is about 939.9129842494.

The spelling of 830353360 in words is "eight hundred thirty million, three hundred fifty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 451279 902558 1805116 2256395 3610232 4512790 7220464 9025580 10379417 18051160 20758834 36102320 41517668 51897085 83035336 103794170 166070672 207588340 415176680 830353360