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244009480 = 2351113291471
BaseRepresentation
bin11101000101101…
…00101000001000
3122000010222002011
432202310220020
5444431300410
640113545304
76022021621
oct1642645010
9560128064
10244009480
11115811a30
1269875234
133b725b10
142459aa48
151664e18a
hexe8b4a08

244009480 has 128 divisors (see below), whose sum is σ = 667699200. Its totient is φ = 79027200.

The previous prime is 244009439. The next prime is 244009481. The reversal of 244009480 is 84900442.

It is not an unprimeable number, because it can be changed into a prime (244009481) 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 31 ways as a sum of consecutive naturals, for example, 165145 + ... + 166615.

It is an arithmetic number, because the mean of its divisors is an integer number (5216400).

Almost surely, 2244009480 is an apocalyptic number.

244009480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244009480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333849600).

244009480 is an abundant number, since it is smaller than the sum of its proper divisors (423689720).

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

244009480 is a wasteful number, since it uses less digits than its factorization.

244009480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 244009480 is about 15620.8027962714. The cubic root of 244009480 is about 624.8880695557. Note that the first 3 decimals are identical.

The spelling of 244009480 in words is "two hundred forty-four million, nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 29 40 44 52 55 58 65 88 104 110 116 130 143 145 220 232 260 286 290 319 377 440 520 572 580 638 715 754 1144 1160 1276 1430 1471 1508 1595 1885 2552 2860 2942 3016 3190 3770 4147 5720 5884 6380 7355 7540 8294 11768 12760 14710 15080 16181 16588 19123 20735 29420 32362 33176 38246 41470 42659 58840 64724 76492 80905 82940 85318 95615 129448 152984 161810 165880 170636 191230 210353 213295 323620 341272 382460 420706 426590 469249 554567 647240 764920 841412 853180 938498 1051765 1109134 1682824 1706360 1876996 2103530 2218268 2346245 2772835 3753992 4207060 4436536 4692490 5545670 6100237 8414120 9384980 11091340 12200474 18769960 22182680 24400948 30501185 48801896 61002370 122004740 244009480