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312023244 = 2231319232199
BaseRepresentation
bin10010100110010…
…001100011001100
3210202010102102110
4102212101203030
51114334220434
650543424020
710506103521
oct2246214314
9722112373
10312023244
11150146755
12885b5010
134c84a550
142d623148
151c5d64e9
hex129918cc

312023244 has 144 divisors (see below), whose sum is σ = 867104000. Its totient is φ = 86562432.

The previous prime is 312023233. The next prime is 312023269. The reversal of 312023244 is 442320213.

It is a self number, because there is not a number n which added to its sum of digits gives 312023244.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1567857 + ... + 1568055.

Almost surely, 2312023244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312023244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433552000).

312023244 is an abundant number, since it is smaller than the sum of its proper divisors (555080756).

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

312023244 is a wasteful number, since it uses less digits than its factorization.

312023244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 312023244 is about 17664.1796865861. The cubic root of 312023244 is about 678.2591312014.

Adding to 312023244 its reverse (442320213), we get a palindrome (754343457).

The spelling of 312023244 in words is "three hundred twelve million, twenty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 13 19 23 26 38 39 46 52 57 69 76 78 92 114 138 156 199 228 247 276 299 398 437 494 529 597 598 741 796 874 897 988 1058 1194 1196 1311 1482 1587 1748 1794 2116 2388 2587 2622 2964 3174 3588 3781 4577 5174 5244 5681 6348 6877 7562 7761 9154 10051 10348 11343 11362 13731 13754 15124 15522 17043 18308 20102 20631 22686 22724 27462 27508 30153 31044 34086 40204 41262 45372 49153 54924 59501 60306 68172 82524 86963 98306 105271 119002 120612 130663 147459 173926 178503 196612 210542 238004 260889 261326 294918 315813 347852 357006 391989 421084 521778 522652 589836 631626 714012 783978 1043556 1130519 1263252 1368523 1567956 2000149 2261038 2737046 3391557 4000298 4105569 4522076 5474092 6000447 6783114 8000596 8211138 12000894 13566228 16422276 24001788 26001937 52003874 78005811 104007748 156011622 312023244