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244693680 = 243571113241
BaseRepresentation
bin11101001010110…
…11101010110000
3122001102201121220
432211123222300
51000120144210
640140345040
76030601440
oct1645335260
9561381556
10244693680
11116139a90
1269b45180
133b90537a
14246d8120
1516736c70
hexe95bab0

244693680 has 160 divisors (see below), whose sum is σ = 945796608. Its totient is φ = 50841600.

The previous prime is 244693679. The next prime is 244693681. The reversal of 244693680 is 86396442.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (244693679) and next prime (244693681).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (244693681) 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, 11860 + ... + 25100.

Almost surely, 2244693680 is an apocalyptic number.

244693680 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 244693680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472898304).

244693680 is an abundant number, since it is smaller than the sum of its proper divisors (701102928).

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

244693680 is a wasteful number, since it uses less digits than its factorization.

244693680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13275 (or 13269 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 244693680 is about 15642.6877485936. The cubic root of 244693680 is about 625.4715843503.

The spelling of 244693680 in words is "two hundred forty-four million, six hundred ninety-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3696 4620 6160 9240 13241 18480 26482 39723 52964 66205 79446 92687 105928 132410 145651 158892 185374 198615 211856 264820 278061 291302 317784 370748 397230 436953 463435 529640 556122 582604 635568 728255 741496 794460 873906 926870 1019557 1059280 1112244 1165208 1390305 1456510 1482992 1588920 1747812 1853740 2039114 2184765 2224488 2330416 2780610 2913020 3058671 3177840 3495624 3707480 4078228 4369530 4448976 5097785 5561220 5826040 6117342 6991248 7414960 8156456 8739060 10195570 11122440 11652080 12234684 15293355 16312912 17478120 20391140 22244880 24469368 30586710 34956240 40782280 48938736 61173420 81564560 122346840 244693680