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244273428 = 223372311489
BaseRepresentation
bin11101000111101…
…01000100010100
3122000122101011000
432203311010110
51000013222203
640123343300
76024201300
oct1643650424
9560571130
10244273428
11115982273
1269981b30
133b7b8cb9
1424628d00
15166a24a3
hexe8f5114

244273428 has 144 divisors (see below), whose sum is σ = 760972800. Its totient is φ = 67495680.

The previous prime is 244273423. The next prime is 244273483. The reversal of 244273428 is 824372442.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 244273392 and 244273401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244273423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163308 + ... + 164796.

Almost surely, 2244273428 is an apocalyptic number.

244273428 is a gapful number since it is divisible by the number (28) 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 244273428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380486400).

244273428 is an abundant number, since it is smaller than the sum of its proper divisors (516699372).

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

244273428 is a wasteful number, since it uses less digits than its factorization.

244273428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1532 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 244273428 is about 15629.2491182398. The cubic root of 244273428 is about 625.1133046847.

The spelling of 244273428 in words is "two hundred forty-four million, two hundred seventy-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 49 54 62 63 84 93 98 108 124 126 147 186 189 196 217 252 279 294 372 378 434 441 558 588 651 756 837 868 882 1116 1302 1323 1489 1519 1674 1764 1953 2604 2646 2978 3038 3348 3906 4467 4557 5292 5859 5956 6076 7812 8934 9114 10423 11718 13401 13671 17868 18228 20846 23436 26802 27342 31269 40203 41013 41692 46159 53604 54684 62538 72961 80406 82026 92318 93807 125076 138477 145922 160812 164052 184636 187614 218883 276954 281421 291844 323113 375228 415431 437766 553908 562842 646226 656649 830862 875532 969339 1125684 1246293 1292452 1313298 1661724 1938678 1969947 2261791 2492586 2626596 2908017 3877356 3939894 4523582 4985172 5816034 6785373 7879788 8724051 9047164 11632068 13570746 17448102 20356119 27141492 34896204 40712238 61068357 81424476 122136714 244273428