Search a number
-
+
3355363440 = 2435511131771
BaseRepresentation
bin1100011111111110…
…1100100001110000
322122211201010100000
43013333230201300
523332433112230
61312541030000
7146102055462
oct30777544160
98584633300
103355363440
111472019240
12797855300
134161c7a70
1423b8ac132
1514988bb60
hexc7fec870

3355363440 has 960 divisors, whose sum is σ = 14741056512. Its totient is φ = 696729600.

The previous prime is 3355363421. The next prime is 3355363447. The reversal of 3355363440 is 443635533.

3355363440 is a `hidden beast` number, since 3 + 3 + 553 + 63 + 4 + 40 = 666.

It is a super-2 number, since 2×33553634402 = 22516927628977267200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3355363395 and 3355363404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3355363447) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47258605 + ... + 47258675.

Almost surely, 23355363440 is an apocalyptic number.

3355363440 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 3355363440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7370528256).

3355363440 is an abundant number, since it is smaller than the sum of its proper divisors (11385693072).

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

3355363440 is a wasteful number, since it uses less digits than its factorization.

3355363440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

The square root of 3355363440 is about 57925.4990483466. The cubic root of 3355363440 is about 1497.0852197059.

Adding to 3355363440 its reverse (443635533), we get a palindrome (3798998973).

The spelling of 3355363440 in words is "three billion, three hundred fifty-five million, three hundred sixty-three thousand, four hundred forty".