Search a number
-
+
30300600 = 23352114591
BaseRepresentation
bin111001110010…
…1100110111000
32010000102121110
41303211212320
530224104400
63001240320
7515356641
oct163454670
963012543
1030300600
1116116320
12a1930a0
13637ba65
14404a6c8
1529d7e50
hex1ce59b8

30300600 has 96 divisors (see below), whose sum is σ = 102493440. Its totient is φ = 7344000.

The previous prime is 30300587. The next prime is 30300601. The reversal of 30300600 is 600303.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30300601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4305 + ... + 8895.

It is an arithmetic number, because the mean of its divisors is an integer number (1067640).

Almost surely, 230300600 is an apocalyptic number.

30300600 is a gapful number since it is divisible by the number (30) 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 30300600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51246720).

30300600 is an abundant number, since it is smaller than the sum of its proper divisors (72192840).

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

30300600 is a wasteful number, since it uses less digits than its factorization.

30300600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4621 (or 4612 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 30300600 is about 5504.5980779708. The cubic root of 30300600 is about 311.7576191159.

Adding to 30300600 its reverse (600303), we get a palindrome (30900903).

The spelling of 30300600 in words is "thirty million, three hundred thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 4591 6600 9182 13773 18364 22955 27546 36728 45910 50501 55092 68865 91820 101002 110184 114775 137730 151503 183640 202004 229550 252505 275460 303006 344325 404008 459100 505010 550920 606012 688650 757515 918200 1010020 1212024 1262525 1377300 1515030 2020040 2525050 2754600 3030060 3787575 5050100 6060120 7575150 10100200 15150300 30300600