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244330464 = 2537251941
BaseRepresentation
bin11101001000000…
…10111111100000
3122000202021101110
432210002333200
51000022033324
640124503320
76024526500
oct1644027740
9560667343
10244330464
11115a11104
12699aab40
133b808c51
1424641a00
15166b4329
hexe902fe0

244330464 has 72 divisors (see below), whose sum is σ = 746094888. Its totient is φ = 69807360.

The previous prime is 244330453. The next prime is 244330469. The reversal of 244330464 is 464033442.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244330469) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 21267 + ... + 30674.

It is an arithmetic number, because the mean of its divisors is an integer number (10362429).

Almost surely, 2244330464 is an apocalyptic number.

244330464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

244330464 is an abundant number, since it is smaller than the sum of its proper divisors (501764424).

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

244330464 is a wasteful number, since it uses less digits than its factorization.

244330464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51968 (or 51953 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 244330464 is about 15631.0736675380. The cubic root of 244330464 is about 625.1619539765.

The spelling of 244330464 in words is "two hundred forty-four million, three hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 51941 103882 155823 207764 311646 363587 415528 623292 727174 831056 1090761 1246584 1454348 1662112 2181522 2493168 2545109 2908696 4363044 4986336 5090218 5817392 7635327 8726088 10180436 11634784 15270654 17452176 20360872 30541308 34904352 40721744 61082616 81443488 122165232 244330464