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234344448 = 2123313163
BaseRepresentation
bin11011111011111…
…01000000000000
3121022221221011000
431331331000000
5434443010243
635130452000
75543615652
oct1575750000
9538857130
10234344448
111103104a8
1266594000
1339720870
14231a26d2
15158905d3
hexdf7d000

234344448 has 208 divisors, whose sum is σ = 752261440. Its totient is φ = 71663616.

The previous prime is 234344377. The next prime is 234344449. The reversal of 234344448 is 844443432.

It is a tau number, because it is divible by the number of its divisors (208).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234344449) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1437615 + ... + 1437777.

Almost surely, 2234344448 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 234344448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376130720).

234344448 is an abundant number, since it is smaller than the sum of its proper divisors (517916992).

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

234344448 is a wasteful number, since it uses less digits than its factorization.

234344448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 181 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The square root of 234344448 is about 15308.3130357332. The cubic root of 234344448 is about 616.5262271211.

The spelling of 234344448 in words is "two hundred thirty-four million, three hundred forty-four thousand, four hundred forty-eight".