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30012444 = 2235711401
BaseRepresentation
bin111001001111…
…1010000011100
32002110210100000
41302133100130
530140344234
62551134300
7513046560
oct162372034
962423300
1030012444
1115a39880
12a074390
1362aa857
143db36a0
15297c899
hex1c9f41c

30012444 has 144 divisors (see below), whose sum is σ = 98332416. Its totient is φ = 7776000.

The previous prime is 30012443. The next prime is 30012473. The reversal of 30012444 is 44421003.

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 (30012443) 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 47 ways as a sum of consecutive naturals, for example, 74644 + ... + 75044.

It is an arithmetic number, because the mean of its divisors is an integer number (682864).

Almost surely, 230012444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30012444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49166208).

30012444 is an abundant number, since it is smaller than the sum of its proper divisors (68319972).

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

30012444 is a wasteful number, since it uses less digits than its factorization.

30012444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 30012444 is about 5478.3614338596. The cubic root of 30012444 is about 310.7662073246.

Adding to 30012444 its reverse (44421003), we get a palindrome (74433447).

It can be divided in two parts, 3001 and 2444, that added together give a palindrome (5445).

The spelling of 30012444 in words is "thirty million, twelve thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 243 252 297 308 324 378 396 401 462 486 567 594 693 756 802 891 924 972 1134 1188 1203 1386 1604 1701 1782 2079 2268 2406 2673 2772 2807 3402 3564 3609 4158 4411 4812 5346 5614 6237 6804 7218 8316 8421 8822 10692 10827 11228 12474 13233 14436 16842 17644 18711 21654 24948 25263 26466 30877 32481 33684 37422 39699 43308 50526 52932 61754 64962 74844 75789 79398 92631 97443 101052 119097 123508 129924 151578 158796 185262 194886 227367 238194 277893 303156 357291 370524 389772 454734 476388 555786 682101 714582 833679 909468 1071873 1111572 1364202 1429164 1667358 2143746 2501037 2728404 3334716 4287492 5002074 7503111 10004148 15006222 30012444