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30544332 = 22371383337
BaseRepresentation
bin111010010000…
…1000111001100
32010110210221120
41310201013030
530304404312
63010400540
7520423350
oct164410714
963423846
1030544332
1116272455
12a290150
136435990
1440b1460
152a3528c
hex1d211cc

30544332 has 96 divisors (see below), whose sum is σ = 89037312. Its totient is φ = 7934976.

The previous prime is 30544301. The next prime is 30544333. The reversal of 30544332 is 23344503.

It is a super-3 number, since 3×305443323 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30544333) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 90468 + ... + 90804.

It is an arithmetic number, because the mean of its divisors is an integer number (927472).

Almost surely, 230544332 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 30544332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44518656).

30544332 is an abundant number, since it is smaller than the sum of its proper divisors (58492980).

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

30544332 is a wasteful number, since it uses less digits than its factorization.

30544332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 30544332 is about 5526.6926818849. The cubic root of 30544332 is about 312.5912932205.

Adding to 30544332 its reverse (23344503), we get a palindrome (53888835).

It can be divided in two parts, 30544 and 332, that added together give a triangular number (30876 = T248).

The spelling of 30544332 in words is "thirty million, five hundred forty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 83 84 91 156 166 182 249 273 332 337 364 498 546 581 674 996 1011 1079 1092 1162 1348 1743 2022 2158 2324 2359 3237 3486 4044 4316 4381 4718 6474 6972 7077 7553 8762 9436 12948 13143 14154 15106 17524 22659 26286 27971 28308 30212 30667 45318 52572 55942 61334 83913 90636 92001 111884 122668 167826 184002 195797 335652 363623 368004 391594 587391 727246 783188 1090869 1174782 1454492 2181738 2349564 2545361 4363476 5090722 7636083 10181444 15272166 30544332