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244381440 = 2835232767
BaseRepresentation
bin11101001000011…
…11011100000000
3122000211212022110
432210033130000
51000030201230
640125535320
76025131222
oct1644173400
9560755273
10244381440
11115a46436
1269a14540
133b826204
1424656412
15166c44b0
hexe90f700

244381440 has 144 divisors (see below), whose sum is σ = 814722048. Its totient is φ = 62312448.

The previous prime is 244381391. The next prime is 244381447. The reversal of 244381440 is 44183442.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 244381398 and 244381407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244381447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86937 + ... + 89703.

It is an arithmetic number, because the mean of its divisors is an integer number (5657792).

Almost surely, 2244381440 is an apocalyptic number.

244381440 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 244381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407361024).

244381440 is an abundant number, since it is smaller than the sum of its proper divisors (570340608).

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

244381440 is a wasteful number, since it uses less digits than its factorization.

244381440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2814 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 244381440 is about 15632.7041806592. The cubic root of 244381440 is about 625.2054279382.

It can be divided in two parts, 24438 and 1440, that added together give a triangular number (25878 = T227).

The spelling of 244381440 in words is "two hundred forty-four million, three hundred eighty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 256 276 320 345 368 384 460 480 552 640 690 736 768 920 960 1104 1280 1380 1472 1840 1920 2208 2760 2767 2944 3680 3840 4416 5520 5534 5888 7360 8301 8832 11040 11068 13835 14720 16602 17664 22080 22136 27670 29440 33204 41505 44160 44272 55340 63641 66408 83010 88320 88544 110680 127282 132816 166020 177088 190923 221360 254564 265632 318205 332040 354176 381846 442720 509128 531264 636410 664080 708352 763692 885440 954615 1018256 1062528 1272820 1328160 1527384 1770880 1909230 2036512 2125056 2545640 2656320 3054768 3541760 3818460 4073024 5091280 5312640 6109536 7636920 8146048 10182560 10625280 12219072 15273840 16292096 20365120 24438144 30547680 40730240 48876288 61095360 81460480 122190720 244381440