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1230330816 = 263311132383
BaseRepresentation
bin100100101010101…
…0101101111000000
310011202002021121000
41021111111233000
510004431041231
6322030132000
742326432211
oct11125255700
93152067530
101230330816
11581542830
122a4051000
13167b83c00
14b9587408
157302c6e6
hex49555bc0

1230330816 has 336 divisors, whose sum is σ = 4283781120. Its totient is φ = 343249920.

The previous prime is 1230330809. The next prime is 1230330841. The reversal of 1230330816 is 6180330321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1230330816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3212161 + ... + 3212543.

Almost surely, 21230330816 is an apocalyptic number.

1230330816 is a gapful number since it is divisible by the number (16) 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 1230330816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141890560).

1230330816 is an abundant number, since it is smaller than the sum of its proper divisors (3053450304).

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

1230330816 is a wasteful number, since it uses less digits than its factorization.

1230330816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1230330816 is about 35076.0718439223. The cubic root of 1230330816 is about 1071.5373179679.

The spelling of 1230330816 in words is "one billion, two hundred thirty million, three hundred thirty thousand, eight hundred sixteen".