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234538512 = 24313438741
BaseRepresentation
bin11011111101011…
…00011000010000
3121100022210100120
431332230120100
5440020213022
635134550240
75545354515
oct1576543020
9540283316
10234538512
1111043328a
1266668380
133978acb0
142321330c
15158ccd5c
hexdfac610

234538512 has 80 divisors (see below), whose sum is σ = 667748928. Its totient is φ = 70479360.

The previous prime is 234538459. The next prime is 234538517. The reversal of 234538512 is 215835432.

234538512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2345385122 = 110016627222348288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (234538517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22462 + ... + 31202.

Almost surely, 2234538512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234538512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333874464).

234538512 is an abundant number, since it is smaller than the sum of its proper divisors (433210416).

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

234538512 is a wasteful number, since it uses less digits than its factorization.

234538512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8808 (or 8802 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 234538512 is about 15314.6502408641. The cubic root of 234538512 is about 616.6963649036.

The spelling of 234538512 in words is "two hundred thirty-four million, five hundred thirty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 43 48 52 78 86 104 129 156 172 208 258 312 344 516 559 624 688 1032 1118 1677 2064 2236 3354 4472 6708 8741 8944 13416 17482 26223 26832 34964 52446 69928 104892 113633 139856 209784 227266 340899 375863 419568 454532 681798 751726 909064 1127589 1363596 1503452 1818128 2255178 2727192 3006904 4510356 4886219 5454384 6013808 9020712 9772438 14658657 18041424 19544876 29317314 39089752 58634628 78179504 117269256 234538512