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312244032 = 26317271353
BaseRepresentation
bin10010100111000…
…111011101000000
3210202112122021210
4102213013131000
51114413302112
650552250120
710511013312
oct2247073500
9722478253
10312244032
11150287621
12886a0940
134c8c6ba9
142d67d7b2
151c62bb3c
hex129c7740

312244032 has 112 divisors (see below), whose sum is σ = 880457472. Its totient is φ = 97320960.

The previous prime is 312244003. The next prime is 312244033. The reversal of 312244032 is 230442213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312244033) 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 15 ways as a sum of consecutive naturals, for example, 884368 + ... + 884720.

Almost surely, 2312244032 is an apocalyptic number.

312244032 is a gapful number since it is divisible by the number (32) 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 312244032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440228736).

312244032 is an abundant number, since it is smaller than the sum of its proper divisors (568213440).

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

312244032 is a wasteful number, since it uses less digits than its factorization.

312244032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 646 counting only the distinct ones).

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

The square root of 312244032 is about 17670.4281781738. The cubic root of 312244032 is about 678.4190724583.

Adding to 312244032 its reverse (230442213), we get a palindrome (542686245).

The spelling of 312244032 in words is "three hundred twelve million, two hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 271 272 353 408 542 544 706 813 816 1059 1084 1088 1412 1626 1632 2118 2168 2824 3252 3264 4236 4336 4607 5648 6001 6504 8472 8672 9214 11296 12002 13008 13821 16944 17344 18003 18428 22592 24004 26016 27642 33888 36006 36856 48008 52032 55284 67776 72012 73712 95663 96016 110568 144024 147424 191326 192032 221136 286989 288048 294848 382652 384064 442272 573978 576096 765304 884544 1147956 1152192 1530608 1626271 2295912 3061216 3252542 4591824 4878813 6122432 6505084 9183648 9757626 13010168 18367296 19515252 26020336 39030504 52040672 78061008 104081344 156122016 312244032