Search a number
-
+
3003432144 = 2431912725931
BaseRepresentation
bin1011001100000100…
…1011110011010000
321202022111011100120
42303001023303100
522122334312034
61214005550240
7134266515636
oct26301136320
97668434316
103003432144
1113013a5029
126b9a15380
1338b3167ab
14206c5b356
15128a20c49
hexb304bcd0

3003432144 has 80 divisors (see below), whose sum is σ = 8231854080. Its totient is φ = 940947840.

The previous prime is 3003432139. The next prime is 3003432149. The reversal of 3003432144 is 4412343003.

It is an interprime number because it is at equal distance from previous prime (3003432139) and next prime (3003432149).

It is a super-2 number, since 2×30034321442 = 18041209287224873472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3003432149) 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, 102859 + ... + 128789.

It is an arithmetic number, because the mean of its divisors is an integer number (102898176).

Almost surely, 23003432144 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 3003432144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4115927040).

3003432144 is an abundant number, since it is smaller than the sum of its proper divisors (5228421936).

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

3003432144 is a wasteful number, since it uses less digits than its factorization.

3003432144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26088 (or 26082 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3003432144 is about 54803.5778394075. The cubic root of 3003432144 is about 1442.7993616103.

Adding to 3003432144 its reverse (4412343003), we get a palindrome (7415775147).

The spelling of 3003432144 in words is "three billion, three million, four hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 127 152 228 254 304 381 456 508 762 912 1016 1524 2032 2413 3048 4826 6096 7239 9652 14478 19304 25931 28956 38608 51862 57912 77793 103724 115824 155586 207448 311172 414896 492689 622344 985378 1244688 1478067 1970756 2956134 3293237 3941512 5912268 6586474 7883024 9879711 11824536 13172948 19759422 23649072 26345896 39518844 52691792 62571503 79037688 125143006 158075376 187714509 250286012 375429018 500572024 750858036 1001144048 1501716072 3003432144