Search a number
-
+
3355390500 = 22353711219139
BaseRepresentation
bin1100011111111111…
…0011001000100100
322122211202111110020
43013333303020210
523332434444000
61312541355140
7146102230410
oct30777631044
98584674406
103355390500
111472037600
12797868ab0
13416207187
1423b8b7d40
15149894ba0
hexc7ff3224

3355390500 has 576 divisors, whose sum is σ = 13013145600. Its totient is φ = 655776000.

The previous prime is 3355390457. The next prime is 3355390529. The reversal of 3355390500 is 50935533.

It is a super-3 number, since 3×33553905003 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24139431 + ... + 24139569.

Almost surely, 23355390500 is an apocalyptic number.

3355390500 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 3355390500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6506572800).

3355390500 is an abundant number, since it is smaller than the sum of its proper divisors (9657755100).

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

3355390500 is a wasteful number, since it uses less digits than its factorization.

3355390500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 30375, while the sum is 33.

The square root of 3355390500 is about 57925.7326237658. The cubic root of 3355390500 is about 1497.0892442096.

The spelling of 3355390500 in words is "three billion, three hundred fifty-five million, three hundred ninety thousand, five hundred".