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23444128 = 2541107167
BaseRepresentation
bin101100101101…
…1101010100000
31122010002022001
41121123222200
522000203003
62154253344
7403162141
oct131335240
948102261
1023444128
1112262a14
127a27254
134b1ac86
143183ac8
1520d161d
hex165baa0

23444128 has 48 divisors (see below), whose sum is σ = 48009024. Its totient is φ = 11261440.

The previous prime is 23444089. The next prime is 23444131. The reversal of 23444128 is 82144432.

It is a happy number.

23444128 is a nontrivial binomial coefficient, being equal to C(6848, 2).

It is a junction number, because it is equal to n+sod(n) for n = 23444096 and 23444105.

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, 140301 + ... + 140467.

It is an arithmetic number, because the mean of its divisors is an integer number (1000188).

Almost surely, 223444128 is an apocalyptic number.

23444128 is the 6847-th triangular number and also the 3424-th hexagonal number.

23444128 is the 2283-rd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23444128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24004512).

23444128 is an abundant number, since it is smaller than the sum of its proper divisors (24564896).

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

23444128 is a wasteful number, since it uses less digits than its factorization.

23444128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 317 counting only the distinct ones).

The product of its digits is 6144, while the sum is 28.

The square root of 23444128 is about 4841.9136712668. The cubic root of 23444128 is about 286.2055346860.

The spelling of 23444128 in words is "twenty-three million, four hundred forty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 41 82 107 164 167 214 328 334 428 656 668 856 1312 1336 1712 2672 3424 4387 5344 6847 8774 13694 17548 17869 27388 35096 35738 54776 70192 71476 109552 140384 142952 219104 285904 571808 732629 1465258 2930516 5861032 11722064 23444128