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30424050 = 23252174197
BaseRepresentation
bin111010000001…
…1101111110010
32010020200221200
41310003233302
530242032200
63004032030
7516412566
oct164035762
963220850
1030424050
11161a0048
12a232616
1363c2cc7
14407d6a6
152a0e800
hex1d03bf2

30424050 has 144 divisors (see below), whose sum is σ = 89572392. Its totient is φ = 7372800.

The previous prime is 30424021. The next prime is 30424057. The reversal of 30424050 is 5042403.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 251001 + 30173049 = 501^2 + 5493^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (30424057) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 313602 + ... + 313698.

Almost surely, 230424050 is an apocalyptic number.

30424050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30424050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44786196).

30424050 is an abundant number, since it is smaller than the sum of its proper divisors (59148342).

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

30424050 is a wasteful number, since it uses less digits than its factorization.

30424050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 30424050 is about 5515.8000326335. The cubic root of 30424050 is about 312.1804306461.

Adding to 30424050 its reverse (5042403), we get a palindrome (35466453).

It can be divided in two parts, 3042 and 4050, that multiplied together give a square (12320100 = 35102).

The spelling of 30424050 in words is "thirty million, four hundred twenty-four thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 41 45 50 51 75 82 85 90 97 102 123 150 153 170 194 205 225 246 255 291 306 369 410 425 450 485 510 582 615 697 738 765 850 873 970 1025 1230 1275 1394 1455 1530 1649 1746 1845 2050 2091 2425 2550 2910 3075 3298 3485 3690 3825 3977 4182 4365 4850 4947 6150 6273 6970 7275 7650 7954 8245 8730 9225 9894 10455 11931 12546 14550 14841 16490 17425 18450 19885 20910 21825 23862 24735 29682 31365 34850 35793 39770 41225 43650 49470 52275 59655 62730 67609 71586 74205 82450 99425 104550 119310 123675 135218 148410 156825 178965 198850 202827 247350 298275 313650 338045 357930 371025 405654 596550 608481 676090 742050 894825 1014135 1216962 1690225 1789650 2028270 3042405 3380450 5070675 6084810 10141350 15212025 30424050