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3444001148 = 227418533517
BaseRepresentation
bin1100110101000111…
…0100100101111100
322220000111101102002
43031101310211330
524023131014043
61325424521432
7151226345450
oct31521644574
98800441362
103444001148
11150805a045
12801480278
1342b690903
14249582660
15152549bb8
hexcd47497c

3444001148 has 48 divisors (see below), whose sum is σ = 7066282944. Its totient is φ = 1437903360.

The previous prime is 3444001147. The next prime is 3444001153. The reversal of 3444001148 is 8411004443.

It is a happy number.

It is a super-2 number, since 2×34440011482 = 23722287814850635808, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3444001148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3444001147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 977486 + ... + 981002.

It is an arithmetic number, because the mean of its divisors is an integer number (147214228).

Almost surely, 23444001148 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 3444001148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3533141472).

3444001148 is an abundant number, since it is smaller than the sum of its proper divisors (3622281796).

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

3444001148 is a wasteful number, since it uses less digits than its factorization.

3444001148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4422 (or 4420 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 3444001148 is about 58685.6127854179. The cubic root of 3444001148 is about 1510.1535080696.

The spelling of 3444001148 in words is "three billion, four hundred forty-four million, one thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 28 41 82 164 287 574 853 1148 1706 3412 3517 5971 7034 11942 14068 23884 24619 34973 49238 69946 98476 139892 144197 244811 288394 489622 576788 979244 1009379 2018758 3000001 4037516 6000002 12000004 21000007 42000014 84000028 123000041 246000082 492000164 861000287 1722000574 3444001148