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3444081424 = 247213813181
BaseRepresentation
bin1100110101001000…
…1000001100010000
322220000122110112021
43031102020030100
524023141101144
61325430341224
7151230131500
oct31522101420
98800573467
103444081424
111508104393
128014ba814
1342b6bb304
142495a3a00
15152563884
hexcd488310

3444081424 has 60 divisors (see below), whose sum is σ = 7770424908. Its totient is φ = 1474502400.

The previous prime is 3444081409. The next prime is 3444081437. The reversal of 3444081424 is 4241804443.

It can be written as a sum of positive squares in 2 ways, for example, as 815673600 + 2628407824 = 28560^2 + 51268^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3444081424.

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 11 ways as a sum of consecutive naturals, for example, 1081114 + ... + 1084294.

Almost surely, 23444081424 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 3444081424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885212454).

3444081424 is an abundant number, since it is smaller than the sum of its proper divisors (4326343484).

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

3444081424 is a wasteful number, since it uses less digits than its factorization.

3444081424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4584 (or 4571 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

The square root of 3444081424 is about 58686.2967310087. The cubic root of 3444081424 is about 1510.1652413352.

Adding to 3444081424 its reverse (4241804443), we get a palindrome (7685885867).

The spelling of 3444081424 in words is "three billion, four hundred forty-four million, eighty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 1381 2762 3181 5524 6362 9667 11048 12724 19334 22096 22267 25448 38668 44534 50896 67669 77336 89068 135338 154672 155869 178136 270676 311738 356272 541352 623476 1082704 1246952 2493904 4392961 8785922 17571844 30750727 35143688 61501454 70287376 123002908 215255089 246005816 430510178 492011632 861020356 1722040712 3444081424