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244066480 = 2457598389
BaseRepresentation
bin11101000110000…
…10100010110000
3122000020212021021
432203002202300
5444440111410
640115105224
76022350040
oct1643024260
9560225237
10244066480
11115850839
12698a2214
133b745a48
14245b3720
1516660eda
hexe8c28b0

244066480 has 160 divisors (see below), whose sum is σ = 674956800. Its totient is φ = 80357376.

The previous prime is 244066451. The next prime is 244066483. The reversal of 244066480 is 84660442.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (244066483) 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, 2742276 + ... + 2742364.

It is an arithmetic number, because the mean of its divisors is an integer number (4218480).

Almost surely, 2244066480 is an apocalyptic number.

244066480 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 244066480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337478400).

244066480 is an abundant number, since it is smaller than the sum of its proper divisors (430890320).

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

244066480 is a wasteful number, since it uses less digits than its factorization.

244066480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 244066480 is about 15622.6271798312. The cubic root of 244066480 is about 624.9367231939.

The spelling of 244066480 in words is "two hundred forty-four million, sixty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 59 70 80 83 89 112 118 140 166 178 236 280 295 332 356 413 415 445 472 560 581 590 623 664 712 826 830 890 944 1162 1180 1246 1328 1424 1652 1660 1780 2065 2324 2360 2492 2905 3115 3304 3320 3560 4130 4648 4720 4897 4984 5251 5810 6230 6608 6640 7120 7387 8260 9296 9794 9968 10502 11620 12460 14774 16520 19588 21004 23240 24485 24920 26255 29548 33040 34279 36757 36935 39176 42008 46480 48970 49840 51709 52510 59096 68558 73514 73870 78352 84016 97940 103418 105020 118192 137116 147028 147740 171395 183785 195880 206836 210040 258545 274232 294056 295480 342790 367570 391760 413672 420080 435833 517090 548464 588112 590960 685580 735140 827344 871666 1034180 1371160 1470280 1743332 2068360 2179165 2742320 2940560 3050831 3486664 4136720 4358330 6101662 6973328 8716660 12203324 15254155 17433320 24406648 30508310 34866640 48813296 61016620 122033240 244066480