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3444030144 = 26335933361
BaseRepresentation
bin1100110101000111…
…1011101011000000
322220000112212012000
43031101323223000
524023132431034
61325425304000
7151226526132
oct31521735300
98800485160
103444030144
111508079905
12801495000
1342b6a0b79
1424958d052
15152553599
hexcd47bac0

3444030144 has 112 divisors (see below), whose sum is σ = 10144902240. Its totient is φ = 1145733120.

The previous prime is 3444030133. The next prime is 3444030151. The reversal of 3444030144 is 4410304443.

3444030144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34440301442 = 23722687265561321472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1023024 + ... + 1026384.

Almost surely, 23444030144 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 3444030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5072451120).

3444030144 is an abundant number, since it is smaller than the sum of its proper divisors (6700872096).

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

3444030144 is a wasteful number, since it uses less digits than its factorization.

3444030144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3975 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 3444030144 is about 58685.8598301158. The cubic root of 3444030144 is about 1510.1577461913.

Adding to 3444030144 its reverse (4410304443), we get a palindrome (7854334587).

The spelling of 3444030144 in words is "three billion, four hundred forty-four million, thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 593 864 1186 1728 1779 2372 3361 3558 4744 5337 6722 7116 9488 10083 10674 13444 14232 16011 18976 20166 21348 26888 28464 30249 32022 37952 40332 42696 53776 56928 60498 64044 80664 85392 90747 107552 113856 120996 128088 161328 170784 181494 215104 241992 256176 322656 341568 362988 483984 512352 645312 725976 967968 1024704 1451952 1935936 1993073 2903904 3986146 5807808 5979219 7972292 11958438 15944584 17937657 23916876 31889168 35875314 47833752 53812971 63778336 71750628 95667504 107625942 127556672 143501256 191335008 215251884 287002512 382670016 430503768 574005024 861007536 1148010048 1722015072 3444030144