Search a number
-
+
3434224032 = 253211924389
BaseRepresentation
bin1100110010110010…
…0001100110100000
322212100002122201200
43030230201212200
524013130132112
61324435201200
7151050264651
oct31454414640
98770078650
103434224032
111502591388
127ba146200
13429649635
14248159528
15151767cdc
hexccb219a0

3434224032 has 36 divisors (see below), whose sum is σ = 9766075410. Its totient is φ = 1144741248.

The previous prime is 3434224021. The next prime is 3434224037. The reversal of 3434224032 is 2304224343.

3434224032 is a `hidden beast` number, since 3 + 434 + 224 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2809424016 + 624800016 = 53004^2 + 24996^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 3434223987 and 3434224005.

It is not an unprimeable number, because it can be changed into a prime (3434224037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5961907 + ... + 5962482.

Almost surely, 23434224032 is an apocalyptic number.

3434224032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3434224032 is an abundant number, since it is smaller than the sum of its proper divisors (6331851378).

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

3434224032 is a wasteful number, since it uses less digits than its factorization.

3434224032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11924405 (or 11924394 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 3434224032 is about 58602.2527894619. The cubic root of 3434224032 is about 1508.7231039695.

Adding to 3434224032 its reverse (2304224343), we get a palindrome (5738448375).

The spelling of 3434224032 in words is "three billion, four hundred thirty-four million, two hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 11924389 23848778 35773167 47697556 71546334 95395112 107319501 143092668 190790224 214639002 286185336 381580448 429278004 572370672 858556008 1144741344 1717112016 3434224032