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2134023424 = 28135711123
BaseRepresentation
bin111111100110010…
…1001110100000000
312111201112121210121
41333030221310000
513332302222144
6551431310024
7103611620431
oct17714516400
95451477717
102134023424
119a5667425
124b681b314
13280171270
141635c5488
15c7538384
hex7f329d00

2134023424 has 72 divisors (see below), whose sum is σ = 4599506912. Its totient is φ = 982333440.

The previous prime is 2134023403. The next prime is 2134023449. The reversal of 2134023424 is 4243204312.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1899727 + ... + 1900849.

Almost surely, 22134023424 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 2134023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299753456).

2134023424 is an abundant number, since it is smaller than the sum of its proper divisors (2465483488).

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

2134023424 is a wasteful number, since it uses less digits than its factorization.

2134023424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 2134023424 is about 46195.4913817355. The cubic root of 2134023424 is about 1287.4579718458.

Adding to 2134023424 its reverse (4243204312), we get a palindrome (6377227736).

The spelling of 2134023424 in words is "two billion, one hundred thirty-four million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 571 832 1123 1142 1664 2246 2284 3328 4492 4568 7423 8984 9136 14599 14846 17968 18272 29198 29692 35936 36544 58396 59384 71872 73088 116792 118768 143744 146176 233584 237536 287488 467168 475072 641233 934336 950144 1282466 1868672 1900288 2564932 3737344 5129864 8336029 10259728 16672058 20519456 33344116 41038912 66688232 82077824 133376464 164155648 266752928 533505856 1067011712 2134023424