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4344134340 = 22357134318503
BaseRepresentation
bin1000000101110111…
…00011101011000100
3102012202020220000110
410002323203223010
532344044244330
61555021513020
7212436350460
oct40273435304
912182226013
104344134340
11192a172477
12a12a12770
13543002ac0
142d2d354a0
151a65a0db0
hex102ee3ac4

4344134340 has 192 divisors, whose sum is σ = 15319535616. Its totient is φ = 895200768.

The previous prime is 4344134339. The next prime is 4344134341. The reversal of 4344134340 is 434314434.

It is an interprime number because it is at equal distance from previous prime (4344134339) and next prime (4344134341).

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

It is a junction number, because it is equal to n+sod(n) for n = 4344134298 and 4344134307.

It is not an unprimeable number, because it can be changed into a prime (4344134341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225529 + ... + 244031.

It is an arithmetic number, because the mean of its divisors is an integer number (79789248).

Almost surely, 24344134340 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 4344134340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7659767808).

4344134340 is an abundant number, since it is smaller than the sum of its proper divisors (10975401276).

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

4344134340 is a wasteful number, since it uses less digits than its factorization.

4344134340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18578 (or 18576 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 4344134340 is about 65910.0473372611. The cubic root of 4344134340 is about 1631.6778412419.

Adding to 4344134340 its reverse (434314434), we get a palindrome (4778448774).

The spelling of 4344134340 in words is "four billion, three hundred forty-four million, one hundred thirty-four thousand, three hundred forty".