Search a number
-
+
30243060 = 223251937239
BaseRepresentation
bin111001101011…
…1100011110100
32002220111200100
41303113203310
530220234220
63000114100
7515030121
oct163274364
962814610
1030243060
1116087071
12a165930
13635b803
144033748
1529c5d90
hex1cd78f4

30243060 has 144 divisors (see below), whose sum is σ = 99590400. Its totient is φ = 7402752.

The previous prime is 30243049. The next prime is 30243107. The reversal of 30243060 is 6034203.

It is a super-3 number, since 3×302430603 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126421 + ... + 126659.

It is an arithmetic number, because the mean of its divisors is an integer number (691600).

Almost surely, 230243060 is an apocalyptic number.

30243060 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 30243060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49795200).

30243060 is an abundant number, since it is smaller than the sum of its proper divisors (69347340).

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

30243060 is a wasteful number, since it uses less digits than its factorization.

30243060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 30243060 is about 5499.3690547189. The cubic root of 30243060 is about 311.5601543756.

Adding to 30243060 its reverse (6034203), we get a palindrome (36277263).

It can be divided in two parts, 3024 and 3060, that added together give a square (6084 = 782).

The spelling of 30243060 in words is "thirty million, two hundred forty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 37 38 45 57 60 74 76 90 95 111 114 148 171 180 185 190 222 228 239 285 333 342 370 380 444 478 555 570 666 684 703 717 740 855 956 1110 1140 1195 1332 1406 1434 1665 1710 2109 2151 2220 2390 2812 2868 3330 3420 3515 3585 4218 4302 4541 4780 6327 6660 7030 7170 8436 8604 8843 9082 10545 10755 12654 13623 14060 14340 17686 18164 21090 21510 22705 25308 26529 27246 31635 35372 40869 42180 43020 44215 45410 53058 54492 63270 68115 79587 81738 88430 90820 106116 126540 132645 136230 159174 163476 168017 176860 204345 265290 272460 318348 336034 397935 408690 504051 530580 672068 795870 817380 840085 1008102 1512153 1591740 1680170 2016204 2520255 3024306 3360340 5040510 6048612 7560765 10081020 15121530 30243060