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234866144 = 2519478219
BaseRepresentation
bin11011111111111…
…00010111100000
3121100221102210002
431333330113200
5440111204034
635145555132
75551220642
oct1577742740
9540842702
10234866144
11110637457
12667a5aa8
1339874166
142329a892
1515944e7e
hexdffc5e0

234866144 has 48 divisors (see below), whose sum is σ = 497145600. Its totient is φ = 108872064.

The previous prime is 234866089. The next prime is 234866171. The reversal of 234866144 is 441668432.

234866144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 234866098 and 234866107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24467 + ... + 32685.

It is an arithmetic number, because the mean of its divisors is an integer number (10357200).

Almost surely, 2234866144 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 234866144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248572800).

234866144 is an abundant number, since it is smaller than the sum of its proper divisors (262279456).

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

234866144 is a wasteful number, since it uses less digits than its factorization.

234866144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8295 (or 8287 counting only the distinct ones).

The product of its digits is 110592, while the sum is 38.

The square root of 234866144 is about 15325.3431935471. The cubic root of 234866144 is about 616.9833901946.

The spelling of 234866144 in words is "two hundred thirty-four million, eight hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 47 76 94 152 188 304 376 608 752 893 1504 1786 3572 7144 8219 14288 16438 28576 32876 65752 131504 156161 263008 312322 386293 624644 772586 1249288 1545172 2498576 3090344 4997152 6180688 7339567 12361376 14679134 29358268 58716536 117433072 234866144