Search a number
-
+
3335104000 = 295331412
BaseRepresentation
bin1100011011001001…
…1010011000000000
322121102120211121101
43012302122120000
523312241312000
61310534504144
7145434626164
oct30662323000
98542524541
103335104000
111461640aa8
12790b05054
13411c53527
14238d16ca4
15147bd8e6a
hexc6c9a600

3335104000 has 240 divisors, whose sum is σ = 8799043968. Its totient is φ = 1259520000.

The previous prime is 3335103997. The next prime is 3335104049. The reversal of 3335104000 is 4015333.

It is a super-2 number, since 2×33351040002 = 22245837381632000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81343980 + ... + 81344020.

Almost surely, 23335104000 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 3335104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4399521984).

3335104000 is an abundant number, since it is smaller than the sum of its proper divisors (5463939968).

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

3335104000 is an frugal number, since it uses more digits than its factorization.

3335104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 3335104000 is about 57750.3593062415. The cubic root of 3335104000 is about 1494.0660378318.

Adding to 3335104000 its reverse (4015333), we get a palindrome (3339119333).

The spelling of 3335104000 in words is "three billion, three hundred thirty-five million, one hundred four thousand".