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244408032 = 253211179431
BaseRepresentation
bin11101001000101…
…01111011100000
3122000220012210100
432210111323200
51000032024112
640130302400
76025301601
oct1644257340
9560805710
10244408032
11115a64410
1269a27a00
133b83534b
1424661da8
15166cc2dc
hexe915ee0

244408032 has 144 divisors (see below), whose sum is σ = 764225280. Its totient is φ = 73478400.

The previous prime is 244407991. The next prime is 244408033. The reversal of 244408032 is 230804442.

It is a happy number.

244408032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2444080322 = 119470572212226048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 244407987 and 244408005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244408033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 566857 + ... + 567287.

It is an arithmetic number, because the mean of its divisors is an integer number (5307120).

Almost surely, 2244408032 is an apocalyptic number.

244408032 is a gapful number since it is divisible by the number (22) 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 244408032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382112640).

244408032 is an abundant number, since it is smaller than the sum of its proper divisors (519817248).

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

244408032 is a wasteful number, since it uses less digits than its factorization.

244408032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 244408032 is about 15633.5546821572. The cubic root of 244408032 is about 625.2281040462.

The spelling of 244408032 in words is "two hundred forty-four million, four hundred eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 179 198 264 288 352 358 396 431 528 537 716 792 862 1056 1074 1293 1432 1584 1611 1724 1969 2148 2586 2864 3168 3222 3448 3879 3938 4296 4741 5172 5728 5907 6444 6896 7758 7876 8592 9482 10344 11814 12888 13792 14223 15516 15752 17184 17721 18964 20688 23628 25776 28446 31032 31504 35442 37928 41376 42669 47256 51552 56892 62064 63008 70884 75856 77149 85338 94512 113784 124128 141768 151712 154298 170676 189024 227568 231447 283536 308596 341352 455136 462894 567072 617192 682704 694341 848639 925788 1234384 1365408 1388682 1697278 1851576 2468768 2545917 2777364 3394556 3703152 5091834 5554728 6789112 7406304 7637751 10183668 11109456 13578224 15275502 20367336 22218912 27156448 30551004 40734672 61102008 81469344 122204016 244408032