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830298240 = 27325473067
BaseRepresentation
bin110001011111010…
…101100010000000
32010212100112001200
4301133111202000
53200024020430
6214220101200
726401263402
oct6137254200
92125315050
10830298240
113967553a2
121b2094800
13103030845
147c3b4b72
154cd5e460
hex317d5880

830298240 has 192 divisors, whose sum is σ = 2929080960. Its totient is φ = 216631296.

The previous prime is 830298239. The next prime is 830298251. The reversal of 830298240 is 42892038.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 830298195 and 830298204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269187 + ... + 272253.

It is an arithmetic number, because the mean of its divisors is an integer number (15255630).

Almost surely, 2830298240 is an apocalyptic number.

830298240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464540480).

830298240 is an abundant number, since it is smaller than the sum of its proper divisors (2098782720).

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

830298240 is a wasteful number, since it uses less digits than its factorization.

830298240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3139 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 830298240 is about 28814.8961476525. The cubic root of 830298240 is about 939.8921862163.

The spelling of 830298240 in words is "eight hundred thirty million, two hundred ninety-eight thousand, two hundred forty".