Search a number
-
+
3403434944 = 267213312693
BaseRepresentation
bin1100101011011100…
…0100101111000000
322210012011102001002
43022313010233000
523432234404234
61321415231132
7150224501600
oct31267045700
98705142032
103403434944
111497172058
127ab9784a8
13423159440
14244022c00
1514dbd527e
hexcadc4bc0

3403434944 has 168 divisors, whose sum is σ = 8736835968. Its totient is φ = 1302497280.

The previous prime is 3403434943. The next prime is 3403434971. The reversal of 3403434944 is 4494343043.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3403434898 and 3403434907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3403434943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1262462 + ... + 1265154.

It is an arithmetic number, because the mean of its divisors is an integer number (52004976).

Almost surely, 23403434944 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 3403434944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4368417984).

3403434944 is an abundant number, since it is smaller than the sum of its proper divisors (5333401024).

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

3403434944 is a wasteful number, since it uses less digits than its factorization.

3403434944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 38.

The square root of 3403434944 is about 58338.9659147298. The cubic root of 3403434944 is about 1504.2008087843.

Adding to 3403434944 its reverse (4494343043), we get a palindrome (7897777987).

The spelling of 3403434944 in words is "three billion, four hundred three million, four hundred thirty-four thousand, nine hundred forty-four".