Search a number
-
+
30477312 = 210323307
BaseRepresentation
bin111010001000…
…0110000000000
32010100102000100
41310100300000
530300233222
63005122400
7520024065
oct164206000
963312010
1030477312
1116227068
12a259400
136411318
144094c6c
152a204ac
hex1d10c00

30477312 has 66 divisors (see below), whose sum is σ = 88029188. Its totient is φ = 10156032.

The previous prime is 30477299. The next prime is 30477313. The reversal of 30477312 is 21377403.

It is not an unprimeable number, because it can be changed into a prime (30477313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7563 + ... + 10869.

Almost surely, 230477312 is an apocalyptic number.

30477312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30477312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44014594).

30477312 is an abundant number, since it is smaller than the sum of its proper divisors (57551876).

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

30477312 is a wasteful number, since it uses less digits than its factorization.

30477312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 30477312 is about 5520.6260514547. The cubic root of 30477312 is about 312.3624978003.

Subtracting from 30477312 its reverse (21377403), we obtain a palindrome (9099909).

The spelling of 30477312 in words is "thirty million, four hundred seventy-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 3307 4608 6614 9216 9921 13228 19842 26456 29763 39684 52912 59526 79368 105824 119052 158736 211648 238104 317472 423296 476208 634944 846592 952416 1269888 1693184 1904832 2539776 3386368 3809664 5079552 7619328 10159104 15238656 30477312