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4430000344 = 2371170110259
BaseRepresentation
bin1000010000000110…
…00111000011011000
3102102201211100000211
410020003013003120
533033040002334
62011330140504
7214531244620
oct41003070330
912381740024
104430000344
11197368a910
12a37721734
13557a381a3
143004c7880
151addb2a64
hex1080c70d8

4430000344 has 64 divisors (see below), whose sum is σ = 10371628800. Its totient is φ = 1723344000.

The previous prime is 4430000321. The next prime is 4430000381.

It is a happy number.

4430000344 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426687 + ... + 436945.

It is an arithmetic number, because the mean of its divisors is an integer number (162056700).

Almost surely, 24430000344 is an apocalyptic number.

4430000344 is a gapful number since it is divisible by the number (44) 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 4430000344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5185814400).

4430000344 is an abundant number, since it is smaller than the sum of its proper divisors (5941628456).

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

4430000344 is a wasteful number, since it uses less digits than its factorization.

4430000344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10984 (or 10980 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 4430000344 is about 66558.2477533776. The cubic root of 4430000344 is about 1642.3583391591.

It can be divided in two parts, 4430000 and 344, that added together give a palindrome (4430344).

The spelling of 4430000344 in words is "four billion, four hundred thirty million, three hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 701 1402 2804 4907 5608 7711 9814 10259 15422 19628 20518 30844 39256 41036 53977 61688 71813 82072 107954 112849 143626 215908 225698 287252 431816 451396 574504 789943 902792 1579886 3159772 6319544 7191559 14383118 28766236 50340913 57532472 79107149 100681826 158214298 201363652 316428596 402727304 553750043 632857192 1107500086 2215000172 4430000344