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244434456 = 23337413943
BaseRepresentation
bin11101001000111…
…00011000011000
3122000221120001000
432210130120120
51000033400311
640131025000
76025441620
oct1644343030
9560846030
10244434456
11115a82252
1269a3b160
133b844396
142466b880
15166d5056
hexe91c618

244434456 has 128 divisors (see below), whose sum is σ = 795110400. Its totient is φ = 68117760.

The previous prime is 244434439. The next prime is 244434457. The reversal of 244434456 is 654434442.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 244434456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244434457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60021 + ... + 63963.

It is an arithmetic number, because the mean of its divisors is an integer number (6211800).

Almost surely, 2244434456 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 244434456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397555200).

244434456 is an abundant number, since it is smaller than the sum of its proper divisors (550675944).

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

244434456 is a wasteful number, since it uses less digits than its factorization.

244434456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4006 (or 3996 counting only the distinct ones).

The product of its digits is 184320, while the sum is 36.

The square root of 244434456 is about 15634.3997646216. The cubic root of 244434456 is about 625.2506352644.

Adding to 244434456 its reverse (654434442), we get a palindrome (898868898).

The spelling of 244434456 in words is "two hundred forty-four million, four hundred thirty-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 41 42 54 56 63 72 82 84 108 123 126 164 168 189 216 246 252 287 328 369 378 492 504 574 738 756 861 984 1107 1148 1476 1512 1722 2214 2296 2583 2952 3444 3943 4428 5166 6888 7749 7886 8856 10332 11829 15498 15772 20664 23658 27601 30996 31544 35487 47316 55202 61992 70974 82803 94632 106461 110404 141948 161663 165606 212922 220808 248409 283896 323326 331212 425844 484989 496818 646652 662424 745227 851688 969978 993636 1131641 1293304 1454967 1490454 1939956 1987272 2263282 2909934 2980908 3394923 3879912 4364901 4526564 5819868 5961816 6789846 8729802 9053128 10184769 11639736 13579692 17459604 20369538 27159384 30554307 34919208 40739076 61108614 81478152 122217228 244434456