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244005432 = 233114122543
BaseRepresentation
bin11101000101100…
…11101000111000
3122000010202112020
432202303220320
5444431133212
640113514440
76022004046
oct1642635070
9560122466
10244005432
11115809990
1269872a20
133b724018
1424599396
151664cd8c
hexe8b3a38

244005432 has 64 divisors (see below), whose sum is σ = 681730560. Its totient is φ = 72134400.

The previous prime is 244005409. The next prime is 244005439. The reversal of 244005432 is 234500442.

244005432 is digitally balanced in base 2, 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244005439) 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, 448 + ... + 22095.

It is an arithmetic number, because the mean of its divisors is an integer number (10652040).

Almost surely, 2244005432 is an apocalyptic number.

244005432 is a gapful number since it is divisible by the number (22) 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 244005432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340865280).

244005432 is an abundant number, since it is smaller than the sum of its proper divisors (437725128).

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

244005432 is a wasteful number, since it uses less digits than its factorization.

244005432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22604 (or 22600 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 244005432 is about 15620.6732249286. The cubic root of 244005432 is about 624.8846140057.

Adding to 244005432 its reverse (234500442), we get a palindrome (478505874).

The spelling of 244005432 in words is "two hundred forty-four million, five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 328 451 492 902 984 1353 1804 2706 3608 5412 10824 22543 45086 67629 90172 135258 180344 247973 270516 495946 541032 743919 924263 991892 1487838 1848526 1983784 2772789 2975676 3697052 5545578 5951352 7394104 10166893 11091156 20333786 22182312 30500679 40667572 61001358 81335144 122002716 244005432