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312997300 = 225272115807
BaseRepresentation
bin10010101001111…
…111010110110100
3210210221220120121
4102221333112310
51120111403200
651020341324
710520301400
oct2251772664
9723856517
10312997300
11150751560
12889a4844
134cacba05
142d7d8100
151c729e1a
hex12a7f5b4

312997300 has 108 divisors (see below), whose sum is σ = 862069824. Its totient is φ = 97540800.

The previous prime is 312997291. The next prime is 312997303. The reversal of 312997300 is 3799213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312997303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50997 + ... + 56803.

It is an arithmetic number, because the mean of its divisors is an integer number (7982128).

Almost surely, 2312997300 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 312997300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431034912).

312997300 is an abundant number, since it is smaller than the sum of its proper divisors (549072524).

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

312997300 is a wasteful number, since it uses less digits than its factorization.

312997300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5846 (or 5832 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 34.

The square root of 312997300 is about 17691.7297062780. The cubic root of 312997300 is about 678.9641813393.

The spelling of 312997300 in words is "three hundred twelve million, nine hundred ninety-seven thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 49 50 55 70 77 98 100 110 140 154 175 196 220 245 275 308 350 385 490 539 550 700 770 980 1078 1100 1225 1540 1925 2156 2450 2695 3850 4900 5390 5807 7700 10780 11614 13475 23228 26950 29035 40649 53900 58070 63877 81298 116140 127754 145175 162596 203245 255508 284543 290350 319385 406490 447139 569086 580700 638770 812980 894278 1016225 1138172 1277540 1422715 1596925 1788556 2032450 2235695 2845430 3129973 3193850 4064900 4471390 5690860 6259946 6387700 7113575 8942780 11178475 12519892 14227150 15649865 22356950 28454300 31299730 44713900 62599460 78249325 156498650 312997300