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234399744 = 21136157
BaseRepresentation
bin11011111100010…
…10100000000000
3121100001202000000
431332022200000
5440001242434
635132000000
75544236115
oct1576124000
9540052000
10234399744
11110348aa7
1266600000
133973ca97
14231b890c
15158a1b99
hexdf8a800

234399744 has 168 divisors, whose sum is σ = 707181930. Its totient is φ = 77635584.

The previous prime is 234399667. The next prime is 234399793. The reversal of 234399744 is 447993432.

It can be written as a sum of positive squares in only one way, i.e., 215737344 + 18662400 = 14688^2 + 4320^2 .

Its product of digits (653184) is a multiple of the sum of its prime divisors (162).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 234399744.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1492914 + ... + 1493070.

Almost surely, 2234399744 is an apocalyptic number.

234399744 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 234399744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353590965).

234399744 is an abundant number, since it is smaller than the sum of its proper divisors (472782186).

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

234399744 is an frugal number, since it uses more digits than its factorization.

234399744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 162 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 234399744 is about 15310.1190067223. The cubic root of 234399744 is about 616.5747152241.

The spelling of 234399744 in words is "two hundred thirty-four million, three hundred ninety-nine thousand, seven hundred forty-four".