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234021440 = 2654117837
BaseRepresentation
bin11011111001011…
…10001001000000
3121022100112001202
431330232021000
5434402141230
635115520332
75541102152
oct1574561100
9538315052
10234021440
1111010a854
12664590a8
1339639833
142311aad2
1515829a45
hexdf2e240

234021440 has 56 divisors (see below), whose sum is σ = 570887352. Its totient is φ = 91320320.

The previous prime is 234021433. The next prime is 234021443. The reversal of 234021440 is 44120432.

234021440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12845056 + 221176384 = 3584^2 + 14872^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (234021443) 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 7 ways as a sum of consecutive naturals, for example, 4202 + ... + 22038.

It is an arithmetic number, because the mean of its divisors is an integer number (10194417).

Almost surely, 2234021440 is an apocalyptic number.

234021440 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 234021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285443676).

234021440 is an abundant number, since it is smaller than the sum of its proper divisors (336865912).

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

234021440 is a wasteful number, since it uses less digits than its factorization.

234021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17895 (or 17885 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 234021440 is about 15297.7593130497. The cubic root of 234021440 is about 616.2428344891.

Adding to 234021440 its reverse (44120432), we get a palindrome (278141872).

It can be divided in two parts, 23402 and 1440, that added together give a palindrome (24842).

The spelling of 234021440 in words is "two hundred thirty-four million, twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1312 1640 2624 3280 6560 13120 17837 35674 71348 89185 142696 178370 285392 356740 570784 713480 731317 1141568 1426960 1462634 2853920 2925268 3656585 5707840 5850536 7313170 11701072 14626340 23402144 29252680 46804288 58505360 117010720 234021440