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2134003344 = 243119534241
BaseRepresentation
bin111111100110010…
…0100111010010000
312111201111121020220
41333030210322100
513332301101334
6551431033040
7103611505044
oct17714447220
95451447226
102134003344
119a5653330
124b680b780
13280165095
141635bc024
15c7532449
hex7f324e90

2134003344 has 80 divisors (see below), whose sum is σ = 6021739584. Its totient is φ = 645836800.

The previous prime is 2134003343. The next prime is 2134003363. The reversal of 2134003344 is 4433004312.

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

It is not an unprimeable number, because it can be changed into a prime (2134003343) 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, 501064 + ... + 505304.

Almost surely, 22134003344 is an apocalyptic number.

2134003344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134003344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010869792).

2134003344 is an abundant number, since it is smaller than the sum of its proper divisors (3887736240).

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

2134003344 is a wasteful number, since it uses less digits than its factorization.

2134003344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5216 (or 5210 counting only the distinct ones).

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

The square root of 2134003344 is about 46195.2740439972. The cubic root of 2134003344 is about 1287.4539337400.

Adding to 2134003344 its reverse (4433004312), we get a palindrome (6567007656).

The spelling of 2134003344 in words is "two billion, one hundred thirty-four million, three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 953 1906 2859 3812 4241 5718 7624 8482 10483 11436 12723 15248 16964 20966 22872 25446 31449 33928 41932 45744 46651 50892 62898 67856 83864 93302 101784 125796 139953 167728 186604 203568 251592 279906 373208 503184 559812 746416 1119624 2239248 4041673 8083346 12125019 16166692 24250038 32333384 44458403 48500076 64666768 88916806 97000152 133375209 177833612 194000304 266750418 355667224 533500836 711334448 1067001672 2134003344