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234048960 = 26335103263
BaseRepresentation
bin11011111001101…
…00110111000000
3121022101220211000
431330310313000
5434404031320
635120252000
75541245325
oct1574646700
9538356730
10234048960
111101294a2
1266471000
1339649212
1423126b4c
1515832c90
hexdf34dc0

234048960 has 224 divisors, whose sum is σ = 836858880. Its totient is φ = 61572096.

The previous prime is 234048953. The next prime is 234048967. The reversal of 234048960 is 69840432.

It is a happy number.

234048960 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 (234048953) and next prime (234048967).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234048967) 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, 889789 + ... + 890051.

Almost surely, 2234048960 is an apocalyptic number.

234048960 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 234048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418429440).

234048960 is an abundant number, since it is smaller than the sum of its proper divisors (602809920).

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

234048960 is a wasteful number, since it uses less digits than its factorization.

234048960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 234048960 is about 15298.6587647414. The cubic root of 234048960 is about 616.2669894527.

Adding to 234048960 its product of nonzero digits (41472), we get a palindrome (234090432).

The spelling of 234048960 in words is "two hundred thirty-four million, forty-eight thousand, nine hundred sixty".