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312023140 = 2251113791381
BaseRepresentation
bin10010100110010…
…001100001100100
3210202010102021121
4102212101201210
51114334220030
650543423324
710506103312
oct2246214144
9722112247
10312023140
11150146670
12885b4b44
134c84a4a0
142d6230b2
151c5d647a
hex12991864

312023140 has 96 divisors (see below), whose sum is σ = 780111360. Its totient is φ = 103334400.

The previous prime is 312023119. The next prime is 312023143. The reversal of 312023140 is 41320213.

It is a happy number.

312023140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (312023143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225250 + ... + 226630.

It is an arithmetic number, because the mean of its divisors is an integer number (8126160).

Almost surely, 2312023140 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 312023140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390055680).

312023140 is an abundant number, since it is smaller than the sum of its proper divisors (468088220).

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

312023140 is a wasteful number, since it uses less digits than its factorization.

312023140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 312023140 is about 17664.1767427752. The cubic root of 312023140 is about 678.2590558449.

Adding to 312023140 its reverse (41320213), we get a palindrome (353343353).

The spelling of 312023140 in words is "three hundred twelve million, twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 79 110 130 143 158 220 260 286 316 395 572 715 790 869 1027 1381 1430 1580 1738 2054 2762 2860 3476 4108 4345 5135 5524 6905 8690 10270 11297 13810 15191 17380 17953 20540 22594 27620 30382 35906 45188 56485 60764 71812 75955 89765 109099 112970 151910 179530 197483 218198 225940 303820 359060 394966 436396 545495 789932 987415 1090990 1200089 1418287 1974830 2181980 2400178 2836574 3949660 4800356 5673148 6000445 7091435 12000890 14182870 15601157 24001780 28365740 31202314 62404628 78005785 156011570 312023140