Search a number
-
+
3355900416 = 29331129761
BaseRepresentation
bin1100100000000110…
…1111101000000000
322122212201101221000
43020001233220000
523333102303131
61313000332000
7146106453141
oct31001575000
98585641830
103355900416
111472355720
12797a74000
134163552bb
1423b9abac8
15149945ce6
hexc806fa00

3355900416 has 320 divisors, whose sum is σ = 11225174400. Its totient is φ = 980582400.

The previous prime is 3355900411. The next prime is 3355900417. The reversal of 3355900416 is 6140095533.

It is a super-2 number, since 2×33559004162 = 22524135204217946112, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3355900411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4409476 + ... + 4410236.

It is an arithmetic number, because the mean of its divisors is an integer number (35078670).

Almost surely, 23355900416 is an apocalyptic number.

3355900416 is a gapful number since it is divisible by the number (36) 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 3355900416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5612587200).

3355900416 is an abundant number, since it is smaller than the sum of its proper divisors (7869273984).

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

3355900416 is a wasteful number, since it uses less digits than its factorization.

3355900416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 3355900416 is about 57930.1339200938. The cubic root of 3355900416 is about 1497.1650775184.

Adding to 3355900416 its reverse (6140095533), we get a palindrome (9495995949).

The spelling of 3355900416 in words is "three billion, three hundred fifty-five million, nine hundred thousand, four hundred sixteen".