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244054304 = 2513412349
BaseRepresentation
bin11101000101111…
…11100100100000
3122000020020120022
432202333210200
5444434214204
640114533012
76022266404
oct1642774440
9560206508
10244054304
1111584267a
1269897168
133b740340
14245ad104
151665c5be
hexe8bf920

244054304 has 72 divisors (see below), whose sum is σ = 531890100. Its totient is φ = 109578240.

The previous prime is 244054271. The next prime is 244054309. The reversal of 244054304 is 403450442.

244054304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 5290000 + 238764304 = 2300^2 + 15452^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (244054309) 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, 699122 + ... + 699470.

Almost surely, 2244054304 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 244054304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265945050).

244054304 is an abundant number, since it is smaller than the sum of its proper divisors (287835796).

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

244054304 is a wasteful number, since it uses less digits than its factorization.

244054304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 244054304 is about 15622.2374837921. The cubic root of 244054304 is about 624.9263307302.

The spelling of 244054304 in words is "two hundred forty-four million, fifty-four thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 208 328 349 416 533 656 698 1066 1312 1396 1681 2132 2792 3362 4264 4537 5584 6724 8528 9074 11168 13448 14309 17056 18148 21853 26896 28618 36296 43706 53792 57236 72592 87412 114472 145184 174824 186017 228944 349648 372034 457888 586669 699296 744068 1173338 1488136 2346676 2976272 4693352 5952544 7626697 9386704 15253394 18773408 30506788 61013576 122027152 244054304