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3344121424 = 247240910429
BaseRepresentation
bin1100011101010011…
…0011111001010000
322122001112222012001
43013110303321100
523322043341144
61311500043344
7145604364100
oct30724637120
98561488161
103344121424
11146673aa16
12793b33554
13413a8ca97
1423a1c3200
151488babd4
hexc7533e50

3344121424 has 60 divisors (see below), whose sum is σ = 7556222100. Its totient is φ = 1429553664.

The previous prime is 3344121421. The next prime is 3344121439. The reversal of 3344121424 is 4241214433.

3344121424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3214890000 + 129231424 = 56700^2 + 11368^2 .

It is a super-2 number, since 2×33441214242 = 22366296196911575552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3344121392 and 3344121401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3344121421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 315442 + ... + 325870.

It is an arithmetic number, because the mean of its divisors is an integer number (125937035).

Almost surely, 23344121424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3344121424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3778111050).

3344121424 is an abundant number, since it is smaller than the sum of its proper divisors (4212100676).

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

3344121424 is a wasteful number, since it uses less digits than its factorization.

3344121424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10860 (or 10847 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 3344121424 is about 57828.3790538867. The cubic root of 3344121424 is about 1495.4113734660.

Adding to 3344121424 its reverse (4241214433), we get a palindrome (7585335857).

The spelling of 3344121424 in words is "three billion, three hundred forty-four million, one hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 409 784 818 1636 2863 3272 5726 6544 10429 11452 20041 20858 22904 40082 41716 45808 73003 80164 83432 146006 160328 166864 292012 320656 511021 584024 1022042 1168048 2044084 4088168 4265461 8176336 8530922 17061844 29858227 34123688 59716454 68247376 119432908 209007589 238865816 418015178 477731632 836030356 1672060712 3344121424