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244442440 = 235113117921
BaseRepresentation
bin11101001000111…
…10010101001000
3122000221221222201
432210132111020
51000034124230
640131125544
76025504114
oct1644362510
9560857881
10244442440
11115a88250
1269a438b4
133b847bc8
1424670744
15166d75ca
hexe91e548

244442440 has 64 divisors (see below), whose sum is σ = 619384320. Its totient is φ = 86016000.

The previous prime is 244442437. The next prime is 244442447. The reversal of 244442440 is 44244442.

It is a junction number, because it is equal to n+sod(n) for n = 244442399 and 244442408.

It is not an unprimeable number, because it can be changed into a prime (244442447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4680 + ... + 22600.

It is an arithmetic number, because the mean of its divisors is an integer number (9677880).

Almost surely, 2244442440 is an apocalyptic number.

244442440 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 244442440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309692160).

244442440 is an abundant number, since it is smaller than the sum of its proper divisors (374941880).

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

244442440 is a wasteful number, since it uses less digits than its factorization.

244442440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17974 (or 17970 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

The square root of 244442440 is about 15634.6550969313. The cubic root of 244442440 is about 625.2574427426.

Adding to 244442440 its reverse (44244442), we get a palindrome (288686882).

The spelling of 244442440 in words is "two hundred forty-four million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1705 2728 3410 6820 13640 17921 35842 71684 89605 143368 179210 197131 358420 394262 555551 716840 788524 985655 1111102 1577048 1971310 2222204 2777755 3942620 4444408 5555510 6111061 7885240 11111020 12222122 22222040 24444244 30555305 48888488 61110610 122221220 244442440