Search a number
-
+
30243240 = 2333541683
BaseRepresentation
bin111001101011…
…1100110101000
32002220111221000
41303113212220
530220240430
63000115000
7515030466
oct163274650
962814830
1030243240
1116087215
12a165a60
13635b911
144033836
1529c5e60
hex1cd79a8

30243240 has 128 divisors (see below), whose sum is σ = 103420800. Its totient is φ = 7856640.

The previous prime is 30243211. The next prime is 30243247. The reversal of 30243240 is 4234203.

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

It is not an unprimeable number, because it can be changed into a prime (30243247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43939 + ... + 44621.

It is an arithmetic number, because the mean of its divisors is an integer number (807975).

Almost surely, 230243240 is an apocalyptic number.

30243240 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 30243240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51710400).

30243240 is an abundant number, since it is smaller than the sum of its proper divisors (73177560).

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

30243240 is a wasteful number, since it uses less digits than its factorization.

30243240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 30243240 is about 5499.3854202083. The cubic root of 30243240 is about 311.5607724868.

Adding to 30243240 its reverse (4234203), we get a palindrome (34477443).

The spelling of 30243240 in words is "thirty million, two hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 41 45 54 60 72 82 90 108 120 123 135 164 180 205 216 246 270 328 360 369 410 492 540 615 683 738 820 984 1080 1107 1230 1366 1476 1640 1845 2049 2214 2460 2732 2952 3415 3690 4098 4428 4920 5464 5535 6147 6830 7380 8196 8856 10245 11070 12294 13660 14760 16392 18441 20490 22140 24588 27320 28003 30735 36882 40980 44280 49176 56006 61470 73764 81960 84009 92205 112012 122940 140015 147528 168018 184410 224024 245880 252027 280030 336036 368820 420045 504054 560060 672072 737640 756081 840090 1008108 1120120 1260135 1512162 1680180 2016216 2520270 3024324 3360360 3780405 5040540 6048648 7560810 10081080 15121620 30243240