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3034440144 = 24351941077
BaseRepresentation
bin1011010011011101…
…1110000111010000
321211110211112100000
42310313132013100
522203304041034
61221034330000
7135124213161
oct26467360720
97743745300
103034440144
11131795387a
12708289900
13394882518
1420b00d768
1512b5e8599
hexb4dde1d0

3034440144 has 120 divisors (see below), whose sum is σ = 9270483040. Its totient is φ = 958220928.

The previous prime is 3034440133. The next prime is 3034440169. The reversal of 3034440144 is 4410444303.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 53334 + ... + 94410.

Almost surely, 23034440144 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 3034440144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4635241520).

3034440144 is an abundant number, since it is smaller than the sum of its proper divisors (6236042896).

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

3034440144 is a wasteful number, since it uses less digits than its factorization.

3034440144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41119 (or 41101 counting only the distinct ones).

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

The square root of 3034440144 is about 55085.7526407691. The cubic root of 3034440144 is about 1447.7476158315.

Adding to 3034440144 its reverse (4410444303), we get a palindrome (7444884447).

The spelling of 3034440144 in words is "three billion, thirty-four million, four hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 243 304 324 342 432 456 486 513 648 684 912 972 1026 1296 1368 1539 1944 2052 2736 3078 3888 4104 4617 6156 8208 9234 12312 18468 24624 36936 41077 73872 82154 123231 164308 246462 328616 369693 492924 657232 739386 780463 985848 1109079 1478772 1560926 1971696 2218158 2341389 2957544 3121852 3327237 4436316 4682778 5915088 6243704 6654474 7024167 8872632 9365556 9981711 12487408 13308948 14048334 17745264 18731112 19963422 21072501 26617896 28096668 37462224 39926844 42145002 53235792 56193336 63217503 79853688 84290004 112386672 126435006 159707376 168580008 189652509 252870012 337160016 379305018 505740024 758610036 1011480048 1517220072 3034440144