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4344004431 = 331371174311
BaseRepresentation
bin1000000101110110…
…00011111101001111
3102012202000021211000
410002323003331033
532344031120211
61555015031343
7212435266644
oct40273037517
912182007730
104344004431
11192a093908
12a1296b553
13542c88930
142d2cdddcb
151a6577656
hex102ec3f4f

4344004431 has 32 divisors (see below), whose sum is σ = 7028259840. Its totient is φ = 2635567200.

The previous prime is 4344004417. The next prime is 4344004439. The reversal of 4344004431 is 1344004434.

It is not a de Polignac number, because 4344004431 - 26 = 4344004367 is a prime.

It is a super-2 number, since 2×43440044312 = 37740748993095267522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4344004395 and 4344004404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4344004439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62235 + ... + 112076.

It is an arithmetic number, because the mean of its divisors is an integer number (219633120).

Almost surely, 24344004431 is an apocalyptic number.

4344004431 is a deficient number, since it is larger than the sum of its proper divisors (2684255409).

4344004431 is a wasteful number, since it uses less digits than its factorization.

4344004431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174404 (or 174398 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4344004431 is about 65909.0618276425. The cubic root of 4344004431 is about 1631.6615762638.

Adding to 4344004431 its reverse (1344004434), we get a palindrome (5688008865).

The spelling of 4344004431 in words is "four billion, three hundred forty-four million, four thousand, four hundred thirty-one".

Divisors: 1 3 9 13 27 39 71 117 213 351 639 923 1917 2769 8307 24921 174311 522933 1568799 2266043 4706397 6798129 12376081 20394387 37128243 61183161 111384729 160889053 334154187 482667159 1448001477 4344004431