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244112640 = 2835151421
BaseRepresentation
bin11101000110011…
…01110100000000
3122000100012120220
432203031310000
5444443101030
640120103040
76022631442
oct1643156400
9560305526
10244112640
11115882492
1269904a80
133b760a65
14245c6492
151666ea10
hexe8cdd00

244112640 has 144 divisors (see below), whose sum is σ = 786662016. Its totient is φ = 64512000.

The previous prime is 244112623. The next prime is 244112663. The reversal of 244112640 is 46211442.

It is a happy number.

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 244112640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 579630 + ... + 580050.

Almost surely, 2244112640 is an apocalyptic number.

244112640 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 244112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393331008).

244112640 is an abundant number, since it is smaller than the sum of its proper divisors (542549376).

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

244112640 is a wasteful number, since it uses less digits than its factorization.

244112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 244112640 is about 15624.1044543359. The cubic root of 244112640 is about 624.9761185542.

The spelling of 244112640 in words is "two hundred forty-four million, one hundred twelve thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 151 160 192 240 256 302 320 384 421 453 480 604 640 755 768 842 906 960 1208 1263 1280 1510 1684 1812 1920 2105 2265 2416 2526 3020 3368 3624 3840 4210 4530 4832 5052 6040 6315 6736 7248 8420 9060 9664 10104 12080 12630 13472 14496 16840 18120 19328 20208 24160 25260 26944 28992 33680 36240 38656 40416 48320 50520 53888 57984 63571 67360 72480 80832 96640 101040 107776 115968 127142 134720 144960 161664 190713 193280 202080 254284 269440 289920 317855 323328 381426 404160 508568 538880 579840 635710 762852 808320 953565 1017136 1271420 1525704 1616640 1907130 2034272 2542840 3051408 3814260 4068544 5085680 6102816 7628520 8137088 10171360 12205632 15257040 16274176 20342720 24411264 30514080 40685440 48822528 61028160 81370880 122056320 244112640