Search a number
-
+
3234414424320 = 283251571788313
BaseRepresentation
bin101111000100010010000…
…111110111000100000000
3102110012120220100212001200
4233010102013313010000
5410443040043034240
610513511450101200
7452451542662512
oct57042207670400
912405526325050
103234414424320
111037786692272
12442a26a1a800
131a6008957761
14b2791813bb2
1559204129930
hex2f1121f7100

3234414424320 has 216 divisors, whose sum is σ = 11262021867096. Its totient is φ = 857016336384.

The previous prime is 3234414424313. The next prime is 3234414424399. The reversal of 3234414424320 is 234244144323.

3234414424320 is a `hidden beast` number, since 3 + 234 + 41 + 44 + 24 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 570520387584 + 2663894036736 = 755328^2 + 1632144^2 .

It is a super-2 number, since 2×32344144243202 (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 914484 + ... + 2702796.

Almost surely, 23234414424320 is an apocalyptic number.

3234414424320 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 3234414424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5631010933548).

3234414424320 is an abundant number, since it is smaller than the sum of its proper divisors (8027607442776).

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

3234414424320 is a wasteful number, since it uses less digits than its factorization.

3234414424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788497 (or 1788480 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 3234414424320 its reverse (234244144323), we get a palindrome (3468658568643).

The spelling of 3234414424320 in words is "three trillion, two hundred thirty-four billion, four hundred fourteen million, four hundred twenty-four thousand, three hundred twenty".