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244516640 = 2551528229
BaseRepresentation
bin11101001001100…
…00011100100000
3122001002201202212
432210300130200
51000044013030
640132501252
76026233334
oct1644603440
9561081685
10244516640
11116028a75
1269a7a828
133b872904
142468d7c4
15166ee595
hexe930720

244516640 has 24 divisors (see below), whose sum is σ = 577670940. Its totient is φ = 97806592.

The previous prime is 244516637. The next prime is 244516663. The reversal of 244516640 is 46615442.

It can be written as a sum of positive squares in 2 ways, for example, as 243235216 + 1281424 = 15596^2 + 1132^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 244516597 and 244516606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 763955 + ... + 764274.

Almost surely, 2244516640 is an apocalyptic number.

244516640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244516640 is an abundant number, since it is smaller than the sum of its proper divisors (333154300).

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

244516640 is a wasteful number, since it uses less digits than its factorization.

244516640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528244 (or 1528236 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 244516640 is about 15637.0278505859. The cubic root of 244516640 is about 625.3207015460.

The spelling of 244516640 in words is "two hundred forty-four million, five hundred sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1528229 3056458 6112916 7641145 12225832 15282290 24451664 30564580 48903328 61129160 122258320 244516640