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234112120 = 235111573389
BaseRepresentation
bin11011111010001…
…00010001111000
3121022112010110021
431331010101320
5434413041440
635121500224
75541630424
oct1575042170
9538463407
10234112120
111101719a0
12664a1674
133966bba8
1423141b84
151584684a
hexdf44478

234112120 has 64 divisors (see below), whose sum is σ = 578469600. Its totient is φ = 84564480.

The previous prime is 234112111. The next prime is 234112121. The reversal of 234112120 is 21211432.

234112120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 234112094 and 234112103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234112121) 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, 67386 + ... + 70774.

Almost surely, 2234112120 is an apocalyptic number.

234112120 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 234112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289234800).

234112120 is an abundant number, since it is smaller than the sum of its proper divisors (344357480).

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

234112120 is a wasteful number, since it uses less digits than its factorization.

234112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3568 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 234112120 is about 15300.7228587410. The cubic root of 234112120 is about 616.3224193398.

Adding to 234112120 its reverse (21211432), we get a palindrome (255323552).

The spelling of 234112120 in words is "two hundred thirty-four million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 157 220 314 440 628 785 1256 1570 1727 3140 3389 3454 6280 6778 6908 8635 13556 13816 16945 17270 27112 33890 34540 37279 67780 69080 74558 135560 149116 186395 298232 372790 532073 745580 1064146 1491160 2128292 2660365 4256584 5320730 5852803 10641460 11705606 21282920 23411212 29264015 46822424 58528030 117056060 234112120