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244342280 = 235713193533
BaseRepresentation
bin11101001000001…
…01111000001000
3122000202212121002
432210011320020
51000022423110
640125034132
76024606110
oct1644057010
9560685532
10244342280
11115a19a76
12699b5948
133b811440
1424646040
15166b7aa5
hexe905e08

244342280 has 128 divisors (see below), whose sum is σ = 712454400. Its totient is φ = 73239552.

The previous prime is 244342253. The next prime is 244342303. The reversal of 244342280 is 82243442.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67394 + ... + 70926.

It is an arithmetic number, because the mean of its divisors is an integer number (5566050).

Almost surely, 2244342280 is an apocalyptic number.

244342280 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 244342280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356227200).

244342280 is an abundant number, since it is smaller than the sum of its proper divisors (468112120).

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

244342280 is a wasteful number, since it uses less digits than its factorization.

244342280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

The square root of 244342280 is about 15631.4516280479. The cubic root of 244342280 is about 625.1720315772.

The spelling of 244342280 in words is "two hundred forty-four million, three hundred forty-two thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 19 20 26 28 35 38 40 52 56 65 70 76 91 95 104 130 133 140 152 182 190 247 260 266 280 364 380 455 494 520 532 665 728 760 910 988 1064 1235 1330 1729 1820 1976 2470 2660 3458 3533 3640 4940 5320 6916 7066 8645 9880 13832 14132 17290 17665 24731 28264 34580 35330 45929 49462 67127 69160 70660 91858 98924 123655 134254 141320 183716 197848 229645 247310 268508 321503 335635 367432 459290 469889 494620 537016 643006 671270 872651 918580 939778 989240 1286012 1342540 1607515 1745302 1837160 1879556 2349445 2572024 2685080 3215030 3490604 3759112 4363255 4698890 6108557 6430060 6981208 8726510 9397780 12217114 12860120 17453020 18795560 24434228 30542785 34906040 48868456 61085570 122171140 244342280