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244133032 = 231113593617
BaseRepresentation
bin11101000110100…
…10110010101000
3122000101020120011
432203102302220
5444444224112
640120341304
76023045053
oct1643226250
9560336504
10244133032
11115896840
1269914834
133b76a120
14245cda9a
1516675aa7
hexe8d2ca8

244133032 has 64 divisors (see below), whose sum is σ = 547041600. Its totient is φ = 100669440.

The previous prime is 244133027. The next prime is 244133047. The reversal of 244133032 is 230331442.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 244132994 and 244133012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65688 + ... + 69304.

It is an arithmetic number, because the mean of its divisors is an integer number (8547525).

Almost surely, 2244133032 is an apocalyptic number.

244133032 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 244133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273520800).

244133032 is an abundant number, since it is smaller than the sum of its proper divisors (302908568).

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

244133032 is a wasteful number, since it uses less digits than its factorization.

244133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706 (or 3702 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 244133032 is about 15624.7570221108. The cubic root of 244133032 is about 624.9935205728.

Adding to 244133032 its reverse (230331442), we get a palindrome (474464474).

The spelling of 244133032 in words is "two hundred forty-four million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 59 88 104 118 143 236 286 472 572 649 767 1144 1298 1534 2596 3068 3617 5192 6136 7234 8437 14468 16874 28936 33748 39787 47021 67496 79574 94042 159148 188084 213403 318296 376168 426806 517231 853612 1034462 1707224 2068924 2347433 2774239 4137848 4694866 5548478 9389732 11096956 18779464 22193912 30516629 61033258 122066516 244133032