Search a number
-
+
30243460 = 22513293397
BaseRepresentation
bin111001101011…
…1101010000100
32002220112020011
41303113222010
530220242320
63000120004
7515031232
oct163275204
962815204
1030243460
11160873a5
12a166004
13635ba50
144033952
1529c605a
hex1cd7a84

30243460 has 48 divisors (see below), whose sum is σ = 68803056. Its totient is φ = 11100672.

The previous prime is 30243449. The next prime is 30243461. The reversal of 30243460 is 6434203.

It can be written as a sum of positive squares in 8 ways, for example, as 278784 + 29964676 = 528^2 + 5474^2 .

It is not an unprimeable number, because it can be changed into a prime (30243461) 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, 75982 + ... + 76378.

It is an arithmetic number, because the mean of its divisors is an integer number (1433397).

Almost surely, 230243460 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 30243460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34401528).

30243460 is an abundant number, since it is smaller than the sum of its proper divisors (38559596).

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

30243460 is a wasteful number, since it uses less digits than its factorization.

30243460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 30243460 is about 5499.4054224070. The cubic root of 30243460 is about 311.5615279526.

Adding to 30243460 its reverse (6434203), we get a palindrome (36677663).

It can be divided in two parts, 30243 and 460, that added together give a palindrome (30703).

The spelling of 30243460 in words is "thirty million, two hundred forty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 293 397 586 794 1172 1465 1588 1985 2930 3809 3970 5161 5860 7618 7940 10322 15236 19045 20644 25805 38090 51610 76180 103220 116321 232642 465284 581605 1163210 1512173 2326420 3024346 6048692 7560865 15121730 30243460