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30641312 = 2513731009
BaseRepresentation
bin111010011100…
…0110010100000
32010122201222102
41310320302200
530321010222
63012425532
7521306162
oct164706240
963581872
1030641312
11163292a9
12a3182a8
13646ab70
1440d8932
152a53d92
hex1d38ca0

30641312 has 48 divisors (see below), whose sum is σ = 65920680. Its totient is φ = 13934592.

The previous prime is 30641297. The next prime is 30641323. The reversal of 30641312 is 21314603.

It can be written as a sum of positive squares in 4 ways, for example, as 19324816 + 11316496 = 4396^2 + 3364^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29864 + ... + 30872.

Almost surely, 230641312 is an apocalyptic number.

30641312 is a gapful number since it is divisible by the number (32) 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 30641312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32960340).

30641312 is an abundant number, since it is smaller than the sum of its proper divisors (35279368).

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

30641312 is a wasteful number, since it uses less digits than its factorization.

30641312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 30641312 is about 5535.4595111878. The cubic root of 30641312 is about 312.9217754414.

Adding to 30641312 its reverse (21314603), we get a palindrome (51955915).

The spelling of 30641312 in words is "thirty million, six hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 73 104 146 208 292 416 584 949 1009 1168 1898 2018 2336 3796 4036 7592 8072 13117 15184 16144 26234 30368 32288 52468 73657 104936 147314 209872 294628 419744 589256 957541 1178512 1915082 2357024 3830164 7660328 15320656 30641312