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311826340 = 225711931867
BaseRepresentation
bin10010100101100…
…001011110100100
3210201202102022201
4102211201132210
51114311420330
650535304244
710504323460
oct2245413644
9721672281
10311826340
11150021821
128851b084
134c7aba37
142d5b14a0
151c597eca
hex129617a4

311826340 has 48 divisors (see below), whose sum is σ = 749411712. Its totient is φ = 106765056.

The previous prime is 311826337. The next prime is 311826349. The reversal of 311826340 is 43628113.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 311826299 and 311826308.

It is not an unprimeable number, because it can be changed into a prime (311826349) 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, 166087 + ... + 167953.

It is an arithmetic number, because the mean of its divisors is an integer number (15612744).

Almost surely, 2311826340 is an apocalyptic number.

It is an amenable number.

311826340 is an abundant number, since it is smaller than the sum of its proper divisors (437585372).

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

311826340 is a wasteful number, since it uses less digits than its factorization.

311826340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3076 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 311826340 is about 17658.6052676875. The cubic root of 311826340 is about 678.1164281162.

The spelling of 311826340 in words is "three hundred eleven million, eight hundred twenty-six thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1193 1867 2386 3734 4772 5965 7468 8351 9335 11930 13069 16702 18670 23860 26138 33404 37340 41755 52276 65345 83510 130690 167020 261380 2227331 4454662 8909324 11136655 15591317 22273310 31182634 44546620 62365268 77956585 155913170 311826340