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244073312 = 257337601
BaseRepresentation
bin11101000110001…
…00001101100000
3122000021012122022
432203010031200
5444440321222
640115201012
76022406000
oct1643041540
9560235568
10244073312
1111585598a
12698a6168
133b748ba2
14245b6000
1516663042
hexe8c4360

244073312 has 96 divisors (see below), whose sum is σ = 576475200. Its totient is φ = 101606400.

The previous prime is 244073311. The next prime is 244073317. The reversal of 244073312 is 213370442.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244073311) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 405812 + ... + 406412.

It is an arithmetic number, because the mean of its divisors is an integer number (6004950).

Almost surely, 2244073312 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 244073312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288237600).

244073312 is an abundant number, since it is smaller than the sum of its proper divisors (332401888).

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

244073312 is an equidigital number, since it uses as much as digits as its factorization.

244073312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 244073312 is about 15622.8458355064. The cubic root of 244073312 is about 624.9425542935.

The spelling of 244073312 in words is "two hundred forty-four million, seventy-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 37 49 56 74 98 112 148 196 224 259 296 343 392 518 592 601 686 784 1036 1184 1202 1372 1568 1813 2072 2404 2744 3626 4144 4207 4808 5488 7252 8288 8414 9616 10976 12691 14504 16828 19232 22237 25382 29008 29449 33656 44474 50764 58016 58898 67312 88948 101528 117796 134624 155659 177896 203056 206143 235592 311318 355792 406112 412286 471184 622636 711584 824572 942368 1089613 1245272 1649144 2179226 2490544 3298288 4358452 4981088 6596576 7627291 8716904 15254582 17433808 30509164 34867616 61018328 122036656 244073312