Search a number
-
+
3442544448 = 26377932423
BaseRepresentation
bin1100110100110001…
…0000111101000000
322212220202101012020
43031030100331000
524022242410243
61325333401440
7151211100510
oct31514207500
98786671166
103442544448
111507254662
12800a99280
1342b2a0865
142492c3840
1515235d283
hexcd310f40

3442544448 has 112 divisors (see below), whose sum is σ = 10541690880. Its totient is φ = 971103744.

The previous prime is 3442544429. The next prime is 3442544503. The reversal of 3442544448 is 8444452443.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×34425444482 = 23702224552911249408, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 89965 + ... + 122387.

It is an arithmetic number, because the mean of its divisors is an integer number (94122240).

Almost surely, 23442544448 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 3442544448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5270845440).

3442544448 is an abundant number, since it is smaller than the sum of its proper divisors (7099146432).

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

3442544448 is a wasteful number, since it uses less digits than its factorization.

3442544448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32524 (or 32514 counting only the distinct ones).

The product of its digits is 983040, while the sum is 42.

The square root of 3442544448 is about 58673.2004240437. The cubic root of 3442544448 is about 1509.9405628403.

The spelling of 3442544448 in words is "three billion, four hundred forty-two million, five hundred forty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 158 168 192 224 237 316 336 448 474 553 632 672 948 1106 1264 1344 1659 1896 2212 2528 3318 3792 4424 5056 6636 7584 8848 13272 15168 17696 26544 32423 35392 53088 64846 97269 106176 129692 194538 226961 259384 389076 453922 518768 680883 778152 907844 1037536 1361766 1556304 1815688 2075072 2561417 2723532 3112608 3631376 5122834 5447064 6225216 7262752 7684251 10245668 10894128 14525504 15368502 17929919 20491336 21788256 30737004 35859838 40982672 43576512 53789757 61474008 71719676 81965344 107579514 122948016 143439352 163930688 215159028 245896032 286878704 430318056 491792064 573757408 860636112 1147514816 1721272224 3442544448