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312865340 = 225293761239
BaseRepresentation
bin10010101001011…
…111001000111100
3210210201012120012
4102221133020330
51120043142330
651013442352
710516211564
oct2251371074
9723635505
10312865340
111506713a7
12889403b8
134ca83928
142d7a1da4
151c700c95
hex12a5f23c

312865340 has 96 divisors (see below), whose sum is σ = 712454400. Its totient is φ = 115153920.

The previous prime is 312865339. The next prime is 312865351. The reversal of 312865340 is 43568213.

312865340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 312865297 and 312865306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1308941 + ... + 1309179.

It is an arithmetic number, because the mean of its divisors is an integer number (7421400).

Almost surely, 2312865340 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 312865340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356227200).

312865340 is an abundant number, since it is smaller than the sum of its proper divisors (399589060).

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

312865340 is a wasteful number, since it uses less digits than its factorization.

312865340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 312865340 is about 17687.9998869290. Note that the first 3 decimals coincide. The cubic root of 312865340 is about 678.8687505826.

The spelling of 312865340 in words is "three hundred twelve million, eight hundred sixty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 37 58 61 74 116 122 145 148 185 239 244 290 305 370 478 580 610 740 956 1073 1195 1220 1769 2146 2257 2390 3538 4292 4514 4780 5365 6931 7076 8843 8845 9028 10730 11285 13862 14579 17686 17690 21460 22570 27724 29158 34655 35372 35380 44215 45140 58316 65453 69310 72895 88430 130906 138620 145790 176860 256447 261812 291580 327265 422791 512894 539423 654530 845582 1025788 1078846 1282235 1309060 1691164 2113955 2157692 2564470 2697115 4227910 5128940 5394230 8455820 10788460 15643267 31286534 62573068 78216335 156432670 312865340