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284297970 = 235112172271
BaseRepresentation
bin10000111100100…
…000101011110010
3201210221211111110
4100330200223302
51040240013340
644113254150
710021331025
oct2074405362
9653854443
10284297970
1113652a300
127b264356
1346b90a68
1429a871bc
1519e5b680
hex10f20af2

284297970 has 144 divisors (see below), whose sum is σ = 799634304. Its totient is φ = 64627200.

The previous prime is 284297947. The next prime is 284297999. The reversal of 284297970 is 79792482.

It is a super-2 number, since 2×2842979702 = 161650671492241800, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1048935 + ... + 1049205.

It is an arithmetic number, because the mean of its divisors is an integer number (5553016).

Almost surely, 2284297970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284297970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399817152).

284297970 is an abundant number, since it is smaller than the sum of its proper divisors (515336334).

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

284297970 is a wasteful number, since it uses less digits than its factorization.

284297970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 284297970 is about 16861.1378619594. The cubic root of 284297970 is about 657.5436471962.

The spelling of 284297970 in words is "two hundred eighty-four million, two hundred ninety-seven thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 121 165 170 187 242 255 271 289 330 363 374 510 542 561 578 605 726 813 867 935 1122 1210 1355 1445 1626 1734 1815 1870 2057 2710 2805 2890 2981 3179 3630 4065 4114 4335 4607 5610 5962 6171 6358 8130 8670 8943 9214 9537 10285 12342 13821 14905 15895 17886 19074 20570 23035 27642 29810 30855 31790 32791 34969 44715 46070 47685 50677 61710 65582 69105 69938 78319 89430 95370 98373 101354 104907 138210 152031 156638 163955 174845 196746 209814 234957 253385 304062 327910 349690 391595 469914 491865 506770 524535 557447 760155 783190 861509 983730 1049070 1114894 1174785 1520310 1672341 1723018 2349570 2584527 2787235 3344682 4307545 5169054 5574470 8361705 8615090 9476599 12922635 16723410 18953198 25845270 28429797 47382995 56859594 94765990 142148985 284297970