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30724064 = 257197219
BaseRepresentation
bin111010100110…
…0111111100000
32010210221111022
41311030333200
530331132224
63014305012
7522102350
oct165147740
963727438
1030724064
1116385498
12a358168
136499727
14411ab60
152a6d65e
hex1d4cfe0

30724064 has 48 divisors (see below), whose sum is σ = 72777600. Its totient is φ = 12472704.

The previous prime is 30724063. The next prime is 30724081. The reversal of 30724064 is 46042703.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30724063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 647 + ... + 7865.

It is an arithmetic number, because the mean of its divisors is an integer number (1516200).

Almost surely, 230724064 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 30724064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36388800).

30724064 is an abundant number, since it is smaller than the sum of its proper divisors (42053536).

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

30724064 is a wasteful number, since it uses less digits than its factorization.

30724064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7255 (or 7247 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 30724064 is about 5542.9291895170. The cubic root of 30724064 is about 313.2032214676.

Adding to 30724064 its reverse (46042703), we get a palindrome (76766767).

The spelling of 30724064 in words is "thirty million, seven hundred twenty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 7219 14438 28876 50533 57752 101066 115504 137161 202132 231008 274322 404264 548644 808528 960127 1097288 1617056 1920254 2194576 3840508 4389152 7681016 15362032 30724064