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830389248 = 210321329239
BaseRepresentation
bin110001011111101…
…011110000000000
32010212112010220100
4301133223300000
53200034423443
6214222042400
726402122623
oct6137536000
92125463810
10830389248
11396807807
121b2119400
131030630b0
147c3d9dba
154cd7b3d3
hex317ebc00

830389248 has 264 divisors, whose sum is σ = 2682388800. Its totient is φ = 245661696.

The previous prime is 830389237. The next prime is 830389267. The reversal of 830389248 is 842983038.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3474313 + ... + 3474551.

Almost surely, 2830389248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830389248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341194400).

830389248 is an abundant number, since it is smaller than the sum of its proper divisors (1851999552).

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

830389248 is a wasteful number, since it uses less digits than its factorization.

830389248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 830389248 is about 28816.4752875851. The cubic root of 830389248 is about 939.9265251156.

The spelling of 830389248 in words is "eight hundred thirty million, three hundred eighty-nine thousand, two hundred forty-eight".