Search a number
-
+
3004111344 = 2431317283193
BaseRepresentation
bin1011001100001111…
…0001100111110000
321202100202200001010
42303003301213300
522123023030334
61214032310520
7134305345053
oct26303614760
97670680033
103004111344
111301819353
126ba0a2440
1338b4c39a0
14206d96a9a
15128b070e9
hexb30f19f0

3004111344 has 80 divisors (see below), whose sum is σ = 8849246112. Its totient is φ = 869965824.

The previous prime is 3004111343. The next prime is 3004111387. The reversal of 3004111344 is 4431114003.

3004111344 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-3 number, since 3×30041113443 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3004111344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004111343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130989 + ... + 152204.

Almost surely, 23004111344 is an apocalyptic number.

3004111344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3004111344 is an abundant number, since it is smaller than the sum of its proper divisors (5845134768).

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

3004111344 is a wasteful number, since it uses less digits than its factorization.

3004111344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283234 (or 283228 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3004111344 is about 54809.7741648330. The cubic root of 3004111344 is about 1442.9081122462.

Adding to 3004111344 its reverse (4431114003), we get a palindrome (7435225347).

The spelling of 3004111344 in words is "three billion, four million, one hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 624 663 816 884 1326 1768 2652 3536 5304 10608 283193 566386 849579 1132772 1699158 2265544 3398316 3681509 4531088 4814281 6796632 7363018 9628562 11044527 13593264 14442843 14726036 19257124 22089054 28885686 29452072 38514248 44178108 57771372 58904144 62585653 77028496 88356216 115542744 125171306 176712432 187756959 231085488 250342612 375513918 500685224 751027836 1001370448 1502055672 3004111344