Search a number
-
+
311423000 = 23537172617
BaseRepresentation
bin10010100011111…
…111000000011000
3210200222221001012
4102203333000120
51114211014000
650522513052
710501023530
oct2243770030
9720887035
10311423000
1114a876789
1288365788
134c69a285
142d5084c0
151c518735
hex128ff018

311423000 has 128 divisors (see below), whose sum is σ = 882161280. Its totient is φ = 100454400.

The previous prime is 311422999. The next prime is 311423011. The reversal of 311423000 is 324113.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 117692 + ... + 120308.

It is an arithmetic number, because the mean of its divisors is an integer number (6891885).

Almost surely, 2311423000 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 311423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441080640).

311423000 is an abundant number, since it is smaller than the sum of its proper divisors (570738280).

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

311423000 is a wasteful number, since it uses less digits than its factorization.

311423000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 311423000 is about 17647.1810780079. The cubic root of 311423000 is about 677.8239261082.

Adding to 311423000 its reverse (324113), we get a palindrome (311747113).

The spelling of 311423000 in words is "three hundred eleven million, four hundred twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 125 136 140 170 175 200 238 250 280 340 350 425 476 500 595 680 700 850 875 952 1000 1190 1400 1700 1750 2125 2380 2617 2975 3400 3500 4250 4760 5234 5950 7000 8500 10468 11900 13085 14875 17000 18319 20936 23800 26170 29750 36638 44489 52340 59500 65425 73276 88978 91595 104680 119000 130850 146552 177956 183190 222445 261700 311423 327125 355912 366380 444890 457975 523400 622846 654250 732760 889780 915950 1112225 1245692 1308500 1557115 1779560 1831900 2224450 2289875 2491384 2617000 3114230 3663800 4448900 4579750 5561125 6228460 7785575 8897800 9159500 11122250 12456920 15571150 18319000 22244500 31142300 38927875 44489000 62284600 77855750 155711500 311423000