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244442320 = 24517179737
BaseRepresentation
bin11101001000111…
…10010011010000
3122000221221211021
432210132103100
51000034123240
640131125224
76025503553
oct1644362320
9560857737
10244442320
11115a88151
1269a43814
133b847b35
142467069a
15166d754a
hexe91e4d0

244442320 has 40 divisors (see below), whose sum is σ = 601762824. Its totient is φ = 92024832.

The previous prime is 244442299. The next prime is 244442339. The reversal of 244442320 is 23244442.

It can be written as a sum of positive squares in 4 ways, for example, as 81216144 + 163226176 = 9012^2 + 12776^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 88509 + ... + 91228.

Almost surely, 2244442320 is an apocalyptic number.

244442320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244442320 is an abundant number, since it is smaller than the sum of its proper divisors (357320504).

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

244442320 is a wasteful number, since it uses less digits than its factorization.

244442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179767 (or 179761 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

The square root of 244442320 is about 15634.6512593022. The cubic root of 244442320 is about 625.2573404269.

Adding to 244442320 its reverse (23244442), we get a palindrome (267686762).

The spelling of 244442320 in words is "two hundred forty-four million, four hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 179737 359474 718948 898685 1437896 1797370 2875792 3055529 3594740 6111058 7189480 12222116 14378960 15277645 24444232 30555290 48888464 61110580 122221160 244442320