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234023064 = 233112393709
BaseRepresentation
bin11011111001011…
…10100010011000
3121022100121021220
431330232202120
5434402214224
635115532040
75541106662
oct1574564230
9538317256
10234023064
11110110aa0
126645a020
133963a4b2
142311b532
151582a279
hexdf2e898

234023064 has 64 divisors (see below), whose sum is σ = 641088000. Its totient is φ = 70600320.

The previous prime is 234023059. The next prime is 234023089. The reversal of 234023064 is 460320432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61242 + ... + 64950.

It is an arithmetic number, because the mean of its divisors is an integer number (10017000).

Almost surely, 2234023064 is an apocalyptic number.

234023064 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 234023064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320544000).

234023064 is an abundant number, since it is smaller than the sum of its proper divisors (407064936).

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

234023064 is a wasteful number, since it uses less digits than its factorization.

234023064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3968 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 234023064 is about 15297.8123926266. The cubic root of 234023064 is about 616.2442599654.

Adding to 234023064 its reverse (460320432), we get a palindrome (694343496).

The spelling of 234023064 in words is "two hundred thirty-four million, twenty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 239 264 478 717 956 1434 1912 2629 2868 3709 5258 5736 7418 7887 10516 11127 14836 15774 21032 22254 29672 31548 40799 44508 63096 81598 89016 122397 163196 244794 326392 489588 886451 979176 1772902 2659353 3545804 5318706 7091608 9750961 10637412 19501922 21274824 29252883 39003844 58505766 78007688 117011532 234023064