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2134733328 = 2432713162907
BaseRepresentation
bin111111100111101…
…0111001000010000
312111202212200121100
41333033113020100
513332442431303
6551454424400
7103620635220
oct17717271020
95452780540
102134733328
119a6001822
124b6b02100
1328035c420
1416372c080
15c76288a3
hex7f3d7210

2134733328 has 120 divisors (see below), whose sum is σ = 7353015488. Its totient is φ = 563003136.

The previous prime is 2134733303. The next prime is 2134733329. The reversal of 2134733328 is 8233374312.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2134733292 and 2134733301.

It is not an unprimeable number, because it can be changed into a prime (2134733329) by changing a digit.

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, 68350 + ... + 94557.

Almost surely, 22134733328 is an apocalyptic number.

2134733328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2134733328 is an abundant number, since it is smaller than the sum of its proper divisors (5218282160).

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

2134733328 is a wasteful number, since it uses less digits than its factorization.

2134733328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162941 (or 162932 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 2134733328 is about 46203.1744363956. The cubic root of 2134733328 is about 1287.6007178946.

The spelling of 2134733328 in words is "two billion, one hundred thirty-four million, seven hundred thirty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 162907 325814 488721 651628 977442 1140349 1303256 1466163 1954884 2117791 2280698 2606512 2932326 3421047 3909768 4235582 4561396 5864652 6353373 6842094 7819536 8471164 9122792 10263141 11729304 12706746 13684188 14824537 16942328 18245584 19060119 20526282 23458608 25413492 27368376 29649074 33884656 38120238 41052564 44473611 50826984 54736752 59298148 76240476 82105128 88947222 101653968 118596296 133420833 152480952 164210256 177894444 237192592 266841666 304961904 355788888 533683332 711577776 1067366664 2134733328