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244391040 = 2733514143
BaseRepresentation
bin11101001000100…
…01110010000000
3122000212100111000
432210101302000
51000031003130
640130052000
76025201215
oct1644216200
9560770430
10244391040
11115a52673
1269a1a000
133b82a6aa
1424659b0c
15166c7260
hexe911c80

244391040 has 128 divisors (see below), whose sum is σ = 865612800. Its totient is φ = 65166336.

The previous prime is 244390999. The next prime is 244391047. The reversal of 244391040 is 40193442.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 244390995 and 244391013.

It is not an unprimeable number, because it can be changed into a prime (244391047) 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, 10209 + ... + 24351.

It is an arithmetic number, because the mean of its divisors is an integer number (6762600).

Almost surely, 2244391040 is an apocalyptic number.

244391040 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 244391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432806400).

244391040 is an abundant number, since it is smaller than the sum of its proper divisors (621221760).

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

244391040 is a wasteful number, since it uses less digits than its factorization.

244391040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14171 (or 14153 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 244391040 is about 15633.0112262481. The cubic root of 244391040 is about 625.2136144485.

The spelling of 244391040 in words is "two hundred forty-four million, three hundred ninety-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 14143 17280 28286 42429 56572 70715 84858 113144 127287 141430 169716 212145 226288 254574 282860 339432 381861 424290 452576 509148 565720 636435 678864 763722 848580 905152 1018296 1131440 1272870 1357728 1527444 1697160 1810304 1909305 2036592 2262880 2545740 2715456 3054888 3394320 3818610 4073184 4525760 5091480 5430912 6109776 6788640 7637220 8146368 9051520 10182960 12219552 13577280 15274440 16292736 20365920 24439104 27154560 30548880 40731840 48878208 61097760 81463680 122195520 244391040