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30434544 = 24327109277
BaseRepresentation
bin111010000011…
…0010011110000
32010021020100100
41310012103300
530242401134
63004152400
7516455310
oct164062360
963236310
1030434544
11161a7a18
12a238700
1363c7a0a
144083440
152a12999
hex1d064f0

30434544 has 120 divisors (see below), whose sum is σ = 98589920. Its totient is φ = 8584704.

The previous prime is 30434507. The next prime is 30434557. The reversal of 30434544 is 44543403.

It is a super-2 number, since 2×304345442 = 1852522936975872, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 109734 + ... + 110010.

Almost surely, 230434544 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 30434544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49294960).

30434544 is an abundant number, since it is smaller than the sum of its proper divisors (68155376).

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

30434544 is a wasteful number, since it uses less digits than its factorization.

30434544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 30434544 is about 5516.7512178818. The cubic root of 30434544 is about 312.2163194123.

Adding to 30434544 its reverse (44543403), we get a palindrome (74977947).

The spelling of 30434544 in words is "thirty million, four hundred thirty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 109 112 126 144 168 218 252 277 327 336 436 504 554 654 763 831 872 981 1008 1108 1308 1526 1662 1744 1939 1962 2216 2289 2493 2616 3052 3324 3878 3924 4432 4578 4986 5232 5817 6104 6648 6867 7756 7848 9156 9972 11634 12208 13296 13734 15512 15696 17451 18312 19944 23268 27468 30193 31024 34902 36624 39888 46536 54936 60386 69804 90579 93072 109872 120772 139608 181158 211351 241544 271737 279216 362316 422702 483088 543474 634053 724632 845404 1086948 1268106 1449264 1690808 1902159 2173896 2536212 3381616 3804318 4347792 5072424 7608636 10144848 15217272 30434544