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30300144 = 2437312909
BaseRepresentation
bin111001110010…
…1011111110000
32010000101222120
41303211133300
530224101034
63001234240
7515355420
oct163453760
963011876
1030300144
1116115a46
12a192980
13637b7a4
14404a480
1529d7c49
hex1ce57f0

30300144 has 80 divisors (see below), whose sum is σ = 92375040. Its totient is φ = 8375040.

The previous prime is 30300143. The next prime is 30300163. The reversal of 30300144 is 44100303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30300143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8962 + ... + 11870.

It is an arithmetic number, because the mean of its divisors is an integer number (1154688).

Almost surely, 230300144 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 30300144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46187520).

30300144 is an abundant number, since it is smaller than the sum of its proper divisors (62074896).

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

30300144 is a wasteful number, since it uses less digits than its factorization.

30300144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 30300144 is about 5504.5566578972. The cubic root of 30300144 is about 311.7560552064.

Adding to 30300144 its reverse (44100303), we get a palindrome (74400447).

The spelling of 30300144 in words is "thirty million, three hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 2909 3472 5208 5818 8727 10416 11636 17454 20363 23272 34908 40726 46544 61089 69816 81452 90179 122178 139632 162904 180358 244356 270537 325808 360716 488712 541074 631253 721432 977424 1082148 1262506 1442864 1893759 2164296 2525012 3787518 4328592 5050024 7575036 10100048 15150072 30300144