Search a number
-
+
30421296 = 243217343
BaseRepresentation
bin111010000001…
…1000100110000
32010020120011200
41310003010300
530241440141
63004011200
7516401553
oct164030460
963216150
1030421296
1116198a74
12a230b00
1363c1989
14407c69a
152a0dab6
hex1d03130

30421296 has 120 divisors (see below), whose sum is σ = 92561040. Its totient is φ = 9321984.

The previous prime is 30421291. The next prime is 30421333. The reversal of 30421296 is 69212403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30421291) 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, 707451 + ... + 707493.

It is an arithmetic number, because the mean of its divisors is an integer number (771342).

Almost surely, 230421296 is an apocalyptic number.

30421296 is a gapful number since it is divisible by the number (36) 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 30421296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46280520).

30421296 is an abundant number, since it is smaller than the sum of its proper divisors (62139744).

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

30421296 is a wasteful number, since it uses less digits than its factorization.

30421296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 30421296 is about 5515.5503805151. The cubic root of 30421296 is about 312.1710107864.

Adding to 30421296 its reverse (69212403), we get a palindrome (99633699).

The spelling of 30421296 in words is "thirty million, four hundred twenty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 43 48 51 68 72 86 102 129 136 144 153 172 204 258 272 289 306 344 387 408 516 578 612 688 731 774 816 867 1032 1156 1224 1462 1548 1734 2064 2193 2312 2448 2601 2924 3096 3468 4386 4624 4913 5202 5848 6192 6579 6936 8772 9826 10404 11696 12427 13158 13872 14739 17544 19652 20808 24854 26316 29478 35088 37281 39304 41616 44217 49708 52632 58956 74562 78608 88434 99416 105264 111843 117912 149124 176868 198832 211259 223686 235824 298248 353736 422518 447372 596496 633777 707472 845036 894744 1267554 1690072 1789488 1901331 2535108 3380144 3802662 5070216 7605324 10140432 15210648 30421296