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234211440 = 24351635987
BaseRepresentation
bin11011111010111…
…00100001110000
3121022201011200210
431331130201300
5434424231230
635123544120
75542523121
oct1575344160
9538634623
10234211440
1111022a581
126652b040
13396a5168
142316a048
1515865eb0
hexdf5c870

234211440 has 80 divisors (see below), whose sum is σ = 730631808. Its totient is φ = 62062848.

The previous prime is 234211427. The next prime is 234211441. The reversal of 234211440 is 44112432.

234211440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234211441) 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, 36127 + ... + 42113.

Almost surely, 2234211440 is an apocalyptic number.

234211440 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 234211440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365315904).

234211440 is an abundant number, since it is smaller than the sum of its proper divisors (496420368).

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

234211440 is a wasteful number, since it uses less digits than its factorization.

234211440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6166 (or 6160 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 234211440 is about 15303.9681128784. The cubic root of 234211440 is about 616.4095634660.

Adding to 234211440 its reverse (44112432), we get a palindrome (278323872).

The spelling of 234211440 in words is "two hundred thirty-four million, two hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 163 240 326 489 652 815 978 1304 1630 1956 2445 2608 3260 3912 4890 5987 6520 7824 9780 11974 13040 17961 19560 23948 29935 35922 39120 47896 59870 71844 89805 95792 119740 143688 179610 239480 287376 359220 478960 718440 975881 1436880 1951762 2927643 3903524 4879405 5855286 7807048 9758810 11710572 14638215 15614096 19517620 23421144 29276430 39035240 46842288 58552860 78070480 117105720 234211440