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30441312 = 2533113203
BaseRepresentation
bin111010000011…
…1111101100000
32010021120122000
41310013331200
530243110222
63004244000
7516514116
oct164077540
963246560
1030441312
1116202010
12a240600
1363cab15
144085ab6
152a149ac
hex1d07f60

30441312 has 96 divisors (see below), whose sum is σ = 96888960. Its totient is φ = 9221760.

The previous prime is 30441283. The next prime is 30441317. The reversal of 30441312 is 21314403.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30441317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7903 + ... + 11105.

It is an arithmetic number, because the mean of its divisors is an integer number (1009260).

Almost surely, 230441312 is an apocalyptic number.

30441312 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 30441312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48444480).

30441312 is an abundant number, since it is smaller than the sum of its proper divisors (66447648).

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

30441312 is a wasteful number, since it uses less digits than its factorization.

30441312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233 (or 3219 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 30441312 is about 5517.3645882794. The cubic root of 30441312 is about 312.2394611361.

Adding to 30441312 its reverse (21314403), we get a palindrome (51755715).

It can be divided in two parts, 3044 and 1312, that added together give a square (4356 = 662).

The spelling of 30441312 in words is "thirty million, four hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 3203 4752 6406 9504 9609 12812 19218 25624 28827 35233 38436 51248 57654 70466 76872 86481 102496 105699 115308 140932 153744 172962 211398 230616 281864 307488 317097 345924 422796 461232 563728 634194 691848 845592 922464 951291 1127456 1268388 1383696 1691184 1902582 2536776 2767392 3382368 3805164 5073552 7610328 10147104 15220656 30441312