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2328729678 = 23211891031283
BaseRepresentation
bin1000101011001101…
…1001100001001110
320000021220201120100
42022303121201032
514232123322203
61023024431530
7111464606232
oct21263314116
96007821510
102328729678
11a95564090
1254ba785a6
132b15c3b72
141813ca5c2
15d9698ea3
hex8acd984e

2328729678 has 96 divisors (see below), whose sum is σ = 5624536320. Its totient is φ = 690433920.

The previous prime is 2328729671. The next prime is 2328729679. The reversal of 2328729678 is 8769278232.

2328729678 is a `hidden beast` number, since 2 + 3 + 287 + 296 + 78 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2328729671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1814425 + ... + 1815707.

It is an arithmetic number, because the mean of its divisors is an integer number (58588920).

Almost surely, 22328729678 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2328729678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812268160).

2328729678 is an abundant number, since it is smaller than the sum of its proper divisors (3295806642).

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

2328729678 is a wasteful number, since it uses less digits than its factorization.

2328729678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1491 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 2328729678 is about 48256.9132663912. The cubic root of 2328729678 is about 1325.4795327081.

The spelling of 2328729678 in words is "two billion, three hundred twenty-eight million, seven hundred twenty-nine thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 89 99 103 178 198 206 267 309 534 618 801 927 979 1133 1283 1602 1854 1958 2266 2566 2937 3399 3849 5874 6798 7698 8811 9167 10197 11547 14113 17622 18334 20394 23094 27501 28226 42339 55002 82503 84678 100837 114187 127017 132149 165006 201674 228374 254034 264298 302511 342561 396447 605022 685122 792894 907533 1027683 1189341 1256057 1453639 1815066 2055366 2378682 2512114 2907278 3768171 4360917 7536342 8721834 11304513 11761261 13082751 22609026 23522522 26165502 35283783 70567566 105851349 129373871 211702698 258747742 388121613 776243226 1164364839 2328729678