Search a number
-
+
3423241046100 = 22352533073372081
BaseRepresentation
bin110001110100001001000…
…100010000100001010100
3110010020222112222010010010
4301310021010100201110
5422041244201433400
611140340520000220
7502215050535021
oct61641104204124
913106875863103
103423241046100
1110aa874365a97
12473544600070
131baa6c156415
14bb9859b2548
155e0a66b3450
hex31d09110854

3423241046100 has 288 divisors, whose sum is σ = 10159249516416. Its totient is φ = 889646284800.

The previous prime is 3423241046033. The next prime is 3423241046131. The reversal of 3423241046100 is 16401423243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1644997060 + ... + 1644999140.

It is an arithmetic number, because the mean of its divisors is an integer number (35275171932).

Almost surely, 23423241046100 is an apocalyptic number.

3423241046100 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 3423241046100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5079624758208).

3423241046100 is an abundant number, since it is smaller than the sum of its proper divisors (6736008470316).

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

3423241046100 is a wasteful number, since it uses less digits than its factorization.

3423241046100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 3423241046100 its reverse (16401423243), we get a palindrome (3439642469343).

The spelling of 3423241046100 in words is "three trillion, four hundred twenty-three billion, two hundred forty-one million, forty-six thousand, one hundred".