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234848640 = 273513972
BaseRepresentation
bin11011111111110…
…00000110000000
3121100220112202210
431333320012000
5440110124030
635145342120
75551115625
oct1577700600
9540815683
10234848640
11110625294
1266797940
13398691c0
142329434c
151593ebb0
hexdff8180

234848640 has 192 divisors, whose sum is σ = 814559760. Its totient is φ = 57212928.

The previous prime is 234848611. The next prime is 234848651. The reversal of 234848640 is 46848432.

234848640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 2421072 + ... + 2421168.

Almost surely, 2234848640 is an apocalyptic number.

234848640 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 234848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407279880).

234848640 is an abundant number, since it is smaller than the sum of its proper divisors (579711120).

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

234848640 is an equidigital number, since it uses as much as digits as its factorization.

234848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 234848640 is about 15324.7721027100. The cubic root of 234848640 is about 616.9680623921.

The spelling of 234848640 in words is "two hundred thirty-four million, eight hundred forty-eight thousand, six hundred forty".