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30471264 = 2532313413
BaseRepresentation
bin111010000111…
…1010001100000
32010100002201100
41310033101200
530300040024
63005034400
7520000335
oct164172140
963302640
1030471264
111622256a
12a255a00
13640b645
14409298c
152a1d7c9
hex1d0f460

30471264 has 72 divisors (see below), whose sum is σ = 89474112. Its totient is φ = 9826560.

The previous prime is 30471253. The next prime is 30471271. The reversal of 30471264 is 46217403.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 7222 + ... + 10634.

It is an arithmetic number, because the mean of its divisors is an integer number (1242696).

Almost surely, 230471264 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 30471264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44737056).

30471264 is an abundant number, since it is smaller than the sum of its proper divisors (59002848).

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

30471264 is a wasteful number, since it uses less digits than its factorization.

30471264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 30471264 is about 5520.0782603148. The cubic root of 30471264 is about 312.3418344145.

Adding to 30471264 its reverse (46217403), we get a palindrome (76688667).

The spelling of 30471264 in words is "thirty million, four hundred seventy-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 3413 4464 6826 8928 10239 13652 20478 27304 30717 40956 54608 61434 81912 105803 109216 122868 163824 211606 245736 317409 327648 423212 491472 634818 846424 952227 982944 1269636 1692848 1904454 2539272 3385696 3808908 5078544 7617816 10157088 15235632 30471264