Search a number
-
+
2329381824 = 263711157561
BaseRepresentation
bin1000101011010111…
…1000101111000000
320000100010212010220
42022311320233000
514232310204244
61023050423040
7111503263440
oct21265705700
96010125126
102329381824
11a9596a050
12550131a80
132b1791953
1418151a120
15d9777319
hex8ad78bc0

2329381824 has 112 divisors (see below), whose sum is σ = 7683983616. Its totient is φ = 605030400.

The previous prime is 2329381823. The next prime is 2329381843. The reversal of 2329381824 is 4281839232.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2329381823) 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, 63997 + ... + 93564.

Almost surely, 22329381824 is an apocalyptic number.

2329381824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2329381824 is an abundant number, since it is smaller than the sum of its proper divisors (5354601792).

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

2329381824 is a wasteful number, since it uses less digits than its factorization.

2329381824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157594 (or 157584 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 2329381824 is about 48263.6698148825. The cubic root of 2329381824 is about 1325.6032518765.

The spelling of 2329381824 in words is "two billion, three hundred twenty-nine million, three hundred eighty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3696 4928 7392 14784 157561 315122 472683 630244 945366 1102927 1260488 1733171 1890732 2205854 2520976 3308781 3466342 3781464 4411708 5041952 5199513 6617562 6932684 7562928 8823416 10083904 10399026 12132197 13235124 13865368 15125856 17646832 20798052 24264394 26470248 27730736 30251712 35293664 36396591 41596104 48528788 52940496 55461472 70587328 72793182 83192208 97057576 105880992 110922944 145586364 166384416 194115152 211761984 291172728 332768832 388230304 582345456 776460608 1164690912 2329381824