Search a number
-
+
31030416 = 2432229941
BaseRepresentation
bin111011001011…
…1110010010000
32011101111201200
41312113302100
530420433131
63025031200
7524516454
oct166276220
964344650
1031030416
111657467a
12a485500
136575cc1
14419a664
152ace2e6
hex1d97c90

31030416 has 60 divisors (see below), whose sum is σ = 87313980. Its totient is φ = 10287360.

The previous prime is 31030409. The next prime is 31030429. The reversal of 31030416 is 61403013.

It can be written as a sum of positive squares in 2 ways, for example, as 24800400 + 6230016 = 4980^2 + 2496^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 32506 + ... + 33446.

It is an arithmetic number, because the mean of its divisors is an integer number (1455233).

Almost surely, 231030416 is an apocalyptic number.

31030416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31030416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43656990).

31030416 is an abundant number, since it is smaller than the sum of its proper divisors (56283564).

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

31030416 is a wasteful number, since it uses less digits than its factorization.

31030416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 31030416 is about 5570.4951305966. The cubic root of 31030416 is about 314.2407716924.

Adding to 31030416 its reverse (61403013), we get a palindrome (92433429).

The spelling of 31030416 in words is "thirty-one million, thirty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 229 458 687 916 941 1374 1832 1882 2061 2748 2823 3664 3764 4122 5496 5646 7528 8244 8469 10992 11292 15056 16488 16938 22584 32976 33876 45168 67752 135504 215489 430978 646467 861956 1292934 1723912 1939401 2585868 3447824 3878802 5171736 7757604 10343472 15515208 31030416