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30927312 = 2433135507
BaseRepresentation
bin111010111111…
…0100111010000
32011012021022000
41311332213100
530404133222
63022514000
7523610043
oct165764720
964167260
1030927312
1116504169
12a435900
13653b0b0
144170c5a
152aad9ac
hex1d7e9d0

30927312 has 80 divisors (see below), whose sum is σ = 95618880. Its totient is φ = 9514368.

The previous prime is 30927287. The next prime is 30927313. The reversal of 30927312 is 21372903.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30927313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2863 + ... + 8369.

It is an arithmetic number, because the mean of its divisors is an integer number (1195236).

Almost surely, 230927312 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 30927312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47809440).

30927312 is an abundant number, since it is smaller than the sum of its proper divisors (64691568).

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

30927312 is a wasteful number, since it uses less digits than its factorization.

30927312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5537 (or 5525 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 30927312 is about 5561.2329568181. The cubic root of 30927312 is about 313.8923454770.

It can be divided in two parts, 3092 and 7312, that added together give a square (10404 = 1022).

The spelling of 30927312 in words is "thirty million, nine hundred twenty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5507 5616 11014 16521 22028 33042 44056 49563 66084 71591 88112 99126 132168 143182 148689 198252 214773 264336 286364 297378 396504 429546 572728 594756 644319 793008 859092 1145456 1189512 1288638 1718184 1932957 2379024 2577276 3436368 3865914 5154552 7731828 10309104 15463656 30927312