Search a number
-
+
30300032 = 27724831
BaseRepresentation
bin111001110010…
…1011110000000
32010000101211102
41303211132000
530224100112
63001233532
7515355200
oct163453600
963011742
1030300032
1116115954
12a1928a8
13637b719
14404a400
1529d7bc2
hex1ce5780

30300032 has 48 divisors (see below), whose sum is σ = 70233120. Its totient is φ = 12983040.

The previous prime is 30299999. The next prime is 30300073. The reversal of 30300032 is 23000303.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 30299986 and 30300022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3857 + ... + 8687.

It is an arithmetic number, because the mean of its divisors is an integer number (1463190).

Almost surely, 230300032 is an apocalyptic number.

30300032 is a gapful number since it is divisible by the number (32) 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 30300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35116560).

30300032 is an abundant number, since it is smaller than the sum of its proper divisors (39933088).

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

30300032 is an equidigital number, since it uses as much as digits as its factorization.

30300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4859 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 11.

The square root of 30300032 is about 5504.5464844981. The cubic root of 30300032 is about 311.7556710859.

Adding to 30300032 its reverse (23000303), we get a palindrome (53300335).

The spelling of 30300032 in words is "thirty million, three hundred thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 4831 6272 9662 19324 33817 38648 67634 77296 135268 154592 236719 270536 309184 473438 541072 618368 946876 1082144 1893752 2164288 3787504 4328576 7575008 15150016 30300032