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234262596480 = 27351143257953
BaseRepresentation
bin1101101000101100100…
…0111000101110000000
3211101200011101220222020
43122023020320232000
512314232211041410
6255341352241440
722632150133563
oct3321310705600
9741604356866
10234262596480
1190394146040
123949a0a0280
13191248389c3
14b4a46b84da
1561613e4a70
hex368b238b80

234262596480 has 256 divisors, whose sum is σ = 833542237440. Its totient is φ = 55469998080.

The previous prime is 234262596473. The next prime is 234262596487. The reversal of 234262596480 is 84695262432.

234262596480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (234262596473) and next prime (234262596487).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234262596487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 779184 + ... + 1037136.

It is an arithmetic number, because the mean of its divisors is an integer number (3256024365).

Almost surely, 2234262596480 is an apocalyptic number.

234262596480 is a gapful number since it is divisible by the number (20) 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 234262596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416771118720).

234262596480 is an abundant number, since it is smaller than the sum of its proper divisors (599279640960).

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

234262596480 is a wasteful number, since it uses less digits than its factorization.

234262596480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258029 (or 258017 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 234262596480 in words is "two hundred thirty-four billion, two hundred sixty-two million, five hundred ninety-six thousand, four hundred eighty".