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234193344 = 26372113173
BaseRepresentation
bin11011111010110…
…00000111000000
3121022200020212120
431331120013000
5434423141334
635123324240
75542416300
oct1575300700
9538606776
10234193344
11110217a20
1266520680
1339699b58
1423163600
1515860949
hexdf581c0

234193344 has 336 divisors, whose sum is σ = 822813696. Its totient is φ = 58060800.

The previous prime is 234193327. The next prime is 234193363. The reversal of 234193344 is 443391432.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (31104) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3208092 + ... + 3208164.

Almost surely, 2234193344 is an apocalyptic number.

234193344 is a gapful number since it is divisible by the number (24) 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 234193344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411406848).

234193344 is an abundant number, since it is smaller than the sum of its proper divisors (588620352).

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

234193344 is a wasteful number, since it uses less digits than its factorization.

234193344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 127 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 234193344 is about 15303.3768822440. The cubic root of 234193344 is about 616.3936877331.

The spelling of 234193344 in words is "two hundred thirty-four million, one hundred ninety-three thousand, three hundred forty-four".