Search a number
-
+
30311300 = 2252417393
BaseRepresentation
bin111001110100…
…0001110000100
32010000222021202
41303220032010
530224430200
63001402032
7515433065
oct163501604
963028252
1030311300
1116123368
12a199318
1363838a6
14405056c
1529db1d5
hex1ce8384

30311300 has 36 divisors (see below), whose sum is σ = 67388916. Its totient is φ = 11827200.

The previous prime is 30311297. The next prime is 30311329. The reversal of 30311300 is 311303.

It can be written as a sum of positive squares in 6 ways, for example, as 9935104 + 20376196 = 3152^2 + 4514^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 404 + ... + 7796.

Almost surely, 230311300 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 30311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33694458).

30311300 is an abundant number, since it is smaller than the sum of its proper divisors (37077616).

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

30311300 is a wasteful number, since it uses less digits than its factorization.

30311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7448 (or 7441 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 30311300 is about 5505.5699069215. The cubic root of 30311300 is about 311.7943116120.

Adding to 30311300 its reverse (311303), we get a palindrome (30622603).

The spelling of 30311300 in words is "thirty million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 7393 14786 29572 36965 73930 147860 184825 303113 369650 606226 739300 1212452 1515565 3031130 6062260 7577825 15155650 30311300