Search a number
-
+
30341440 = 265531789
BaseRepresentation
bin111001110111…
…1100101000000
32010002111122001
41303233211000
530231411230
63002153344
7515620003
oct163574500
963074561
1030341440
1116143a78
12a1b2854
13639451c
14405b53a
1529e50ca
hex1cef940

30341440 has 56 divisors (see below), whose sum is σ = 73654920. Its totient is φ = 11900928.

The previous prime is 30341429. The next prime is 30341449. The reversal of 30341440 is 4414303.

It can be written as a sum of positive squares in 4 ways, for example, as 12902464 + 17438976 = 3592^2 + 4176^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30341449) 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 7 ways as a sum of consecutive naturals, for example, 16066 + ... + 17854.

Almost surely, 230341440 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 30341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36827460).

30341440 is an abundant number, since it is smaller than the sum of its proper divisors (43313480).

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

30341440 is a wasteful number, since it uses less digits than its factorization.

30341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 30341440 is about 5508.3064548008. The cubic root of 30341440 is about 311.8976214611.

Adding to 30341440 its reverse (4414303), we get a palindrome (34755743).

The spelling of 30341440 in words is "thirty million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 160 212 265 320 424 530 848 1060 1696 1789 2120 3392 3578 4240 7156 8480 8945 14312 16960 17890 28624 35780 57248 71560 94817 114496 143120 189634 286240 379268 474085 572480 758536 948170 1517072 1896340 3034144 3792680 6068288 7585360 15170720 30341440