[go: up one dir, main page]

Search a number
-
+
31144300 = 225211231231
BaseRepresentation
bin111011011001…
…1100101101100
32011121021221121
41312303211230
530433104200
63031310324
7525502465
oct166634554
964537847
1031144300
11166421a0
12a51b3a4
1365b5aa5
1441c9d6c
152b02e1a
hex1db396c

31144300 has 72 divisors (see below), whose sum is σ = 76995072. Its totient is φ = 10824000.

The previous prime is 31144279. The next prime is 31144303. The reversal of 31144300 is 344113.

It is not an unprimeable number, because it can be changed into a prime (31144303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24685 + ... + 25915.

It is an arithmetic number, because the mean of its divisors is an integer number (1069376).

Almost surely, 231144300 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 31144300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38497536).

31144300 is an abundant number, since it is smaller than the sum of its proper divisors (45850772).

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

31144300 is a wasteful number, since it uses less digits than its factorization.

31144300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1272 counting only the distinct ones).

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

The square root of 31144300 is about 5580.7078404088. The cubic root of 31144300 is about 314.6247315761.

Adding to 31144300 its reverse (344113), we get a palindrome (31488413).

The spelling of 31144300 in words is "thirty-one million, one hundred forty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 1012 1100 1150 1231 1265 2300 2462 2530 4924 5060 6155 6325 12310 12650 13541 24620 25300 27082 28313 30775 54164 56626 61550 67705 113252 123100 135410 141565 270820 283130 311443 338525 566260 622886 677050 707825 1245772 1354100 1415650 1557215 2831300 3114430 6228860 7786075 15572150 31144300