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344411028 = 22341381769
BaseRepresentation
bin10100100001110…
…100101110010100
3220000001220010000
4110201310232110
51201132123103
654101531300
711351305533
oct2441645624
9800056100
10344411028
11167458115
1297413b30
135647a310
1433a5431a
1520382aa3
hex14874b94

344411028 has 60 divisors (see below), whose sum is σ = 969628660. Its totient is φ = 105971328.

The previous prime is 344410991. The next prime is 344411069. The reversal of 344411028 is 820114443.

It can be written as a sum of positive squares in 2 ways, for example, as 49533444 + 294877584 = 7038^2 + 17172^2 .

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 = 344410992 and 344411010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36673 + ... + 45096.

Almost surely, 2344411028 is an apocalyptic number.

It is an amenable number.

344411028 is an abundant number, since it is smaller than the sum of its proper divisors (625217632).

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

344411028 is a wasteful number, since it uses less digits than its factorization.

344411028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81798 (or 81787 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 344411028 is about 18558.3142553412. The cubic root of 344411028 is about 700.9585697427.

The spelling of 344411028 in words is "three hundred forty-four million, four hundred eleven thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 81769 163538 245307 327076 490614 735921 981228 1062997 1471842 2125994 2207763 2943684 3188991 4251988 4415526 6377982 6623289 8831052 9566973 12755964 13246578 19133946 26493156 28700919 38267892 57401838 86102757 114803676 172205514 344411028