Search a number
-
+
30647296 = 2101732
BaseRepresentation
bin111010011101…
…0010000000000
32010200001012001
41310322100000
530321203141
63012513344
7521332501
oct164722000
963601161
1030647296
1116332849
12a31b854
1364707c4
1440daba8
152a55a31
hex1d3a400

30647296 has 33 divisors (see below), whose sum is σ = 61620841. Its totient is φ = 15235072.

The previous prime is 30647291. The next prime is 30647297. The reversal of 30647296 is 69274603.

The square root of 30647296 is 5536.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 27878400 + 2768896 = 5280^2 + 1664^2 .

It is a super-2 number, since 2×306472962 = 1878513504223232, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30647291) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 177066 + ... + 177238.

Almost surely, 230647296 is an apocalyptic number.

30647296 is the 5536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30647296

30647296 is an abundant number, since it is smaller than the sum of its proper divisors (30973545).

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

30647296 is an frugal number, since it uses more digits than its factorization.

30647296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The cubic root of 30647296 is about 312.9421444781.

The spelling of 30647296 in words is "thirty million, six hundred forty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 173 256 346 512 692 1024 1384 2768 5536 11072 22144 29929 44288 59858 88576 119716 177152 239432 478864 957728 1915456 3830912 7661824 15323648 30647296