Search a number
-
+
31230464 = 29181337
BaseRepresentation
bin111011100100…
…0101000000000
32011202200010212
41313020220000
530443333324
63033213252
7526311626
oct167105000
964680125
1031230464
11166a0a01
12a561228
136616085
14420d516
152b1d70e
hex1dc8a00

31230464 has 40 divisors (see below), whose sum is σ = 62930868. Its totient is φ = 15482880.

The previous prime is 31230457. The next prime is 31230469. The reversal of 31230464 is 46403213.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 25080064 + 6150400 = 5008^2 + 2480^2 .

It is a super-4 number, since 4×312304644 (a number of 31 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (31230469) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 92504 + ... + 92840.

Almost surely, 231230464 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 31230464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31465434).

31230464 is an abundant number, since it is smaller than the sum of its proper divisors (31700404).

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

31230464 is an equidigital number, since it uses as much as digits as its factorization.

31230464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 31230464 is about 5588.4223176134. The cubic root of 31230464 is about 314.9146119443.

Adding to 31230464 its reverse (46403213), we get a palindrome (77633677).

The spelling of 31230464 in words is "thirty-one million, two hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 181 256 337 362 512 674 724 1348 1448 2696 2896 5392 5792 10784 11584 21568 23168 43136 46336 60997 86272 92672 121994 172544 243988 487976 975952 1951904 3903808 7807616 15615232 31230464