Search a number
-
+
3304144140 = 223511171811627
BaseRepresentation
bin1100010011110001…
…0011110100001100
322112021022220122220
43010330103310030
523231330103030
61303511135340
7144610522203
oct30474236414
98467286586
103304144140
111446115440
12782674550
1340870369b
14234b7823a
15145120a10
hexc4f13d0c

3304144140 has 192 divisors, whose sum is σ = 10751989248. Its totient is φ = 749260800.

The previous prime is 3304144139. The next prime is 3304144147. The reversal of 3304144140 is 414414033.

It is a self number, because there is not a number n which added to its sum of digits gives 3304144140.

It is not an unprimeable number, because it can be changed into a prime (3304144147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2030007 + ... + 2031633.

It is an arithmetic number, because the mean of its divisors is an integer number (55999944).

Almost surely, 23304144140 is an apocalyptic number.

3304144140 is a gapful number since it is divisible by the number (30) 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 3304144140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5375994624).

3304144140 is an abundant number, since it is smaller than the sum of its proper divisors (7447845108).

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

3304144140 is a wasteful number, since it uses less digits than its factorization.

3304144140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3304144140 is about 57481.6852571321. The cubic root of 3304144140 is about 1489.4285062628.

Adding to 3304144140 its reverse (414414033), we get a palindrome (3718558173).

The spelling of 3304144140 in words is "three billion, three hundred four million, one hundred forty-four thousand, one hundred forty".