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244664352 = 25321675087
BaseRepresentation
bin11101001010101…
…00100000100000
3122001101020101200
432211110200200
51000113224402
640140001200
76030420102
oct1645244040
9561336350
10244664352
11116119a49
1269b30200
133b8c4c0a
14246cb572
151672d21c
hexe954820

244664352 has 72 divisors (see below), whose sum is σ = 700068096. Its totient is φ = 81050496.

The previous prime is 244664341. The next prime is 244664353. The reversal of 244664352 is 253466442.

244664352 is a `hidden beast` number, since 2 + 4 + 4 + 6 + 643 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (244664353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45553 + ... + 50639.

It is an arithmetic number, because the mean of its divisors is an integer number (9723168).

Almost surely, 2244664352 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 244664352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350034048).

244664352 is an abundant number, since it is smaller than the sum of its proper divisors (455403744).

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

244664352 is a wasteful number, since it uses less digits than its factorization.

244664352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5270 (or 5259 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 244664352 is about 15641.7502856937. The cubic root of 244664352 is about 625.4465945160.

The spelling of 244664352 in words is "two hundred forty-four million, six hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 167 288 334 501 668 1002 1336 1503 2004 2672 3006 4008 5087 5344 6012 8016 10174 12024 15261 16032 20348 24048 30522 40696 45783 48096 61044 81392 91566 122088 162784 183132 244176 366264 488352 732528 849529 1465056 1699058 2548587 3398116 5097174 6796232 7645761 10194348 13592464 15291522 20388696 27184928 30583044 40777392 61166088 81554784 122332176 244664352