Search a number
-
+
31341220 = 22537411033
BaseRepresentation
bin111011110001…
…1101010100100
32011222022001221
41313203222210
531010404340
63035430124
7530252551
oct167435244
964868057
1031341220
1116767139
12a5b5344
136654601
14423ba28
152b4144a
hex1de3aa4

31341220 has 48 divisors (see below), whose sum is σ = 69311088. Its totient is φ = 11888640.

The previous prime is 31341197. The next prime is 31341229. The reversal of 31341220 is 2214313.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 937024 + 30404196 = 968^2 + 5514^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31341194 and 31341203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31341229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29824 + ... + 30856.

It is an arithmetic number, because the mean of its divisors is an integer number (1443981).

Almost surely, 231341220 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 31341220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34655544).

31341220 is an abundant number, since it is smaller than the sum of its proper divisors (37969868).

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

31341220 is a wasteful number, since it uses less digits than its factorization.

31341220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1118 counting only the distinct ones).

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

The square root of 31341220 is about 5598.3229631739. The cubic root of 31341220 is about 315.2864447424.

Adding to 31341220 its reverse (2214313), we get a palindrome (33555533).

The spelling of 31341220 in words is "thirty-one million, three hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 41 74 82 148 164 185 205 370 410 740 820 1033 1517 2066 3034 4132 5165 6068 7585 10330 15170 20660 30340 38221 42353 76442 84706 152884 169412 191105 211765 382210 423530 764420 847060 1567061 3134122 6268244 7835305 15670610 31341220