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2324031024 = 243710367153
BaseRepresentation
bin1000101010000101…
…1110011000110000
312222222002000020010
42022201132120300
514224422443044
61022340014520
7111406636440
oct21241363060
95888060203
102324031024
11a929449a7
1254a391440
132b063a2b3
14180926120
15d906bbb9
hex8a85e630

2324031024 has 80 divisors (see below), whose sum is σ = 6928143872. Its totient is φ = 657552384.

The previous prime is 2324031023. The next prime is 2324031049. The reversal of 2324031024 is 4201304232.

It is a super-2 number, since 2×23240310242 = 10802240401028977152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2324031023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1032 + ... + 68184.

Almost surely, 22324031024 is an apocalyptic number.

2324031024 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 2324031024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3464071936).

2324031024 is an abundant number, since it is smaller than the sum of its proper divisors (4604112848).

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

2324031024 is a wasteful number, since it uses less digits than its factorization.

2324031024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67274 (or 67268 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2324031024 is about 48208.2049448017. The cubic root of 2324031024 is about 1324.5874636440.

Adding to 2324031024 its reverse (4201304232), we get a palindrome (6525335256).

The spelling of 2324031024 in words is "two billion, three hundred twenty-four million, thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 103 112 168 206 309 336 412 618 721 824 1236 1442 1648 2163 2472 2884 4326 4944 5768 8652 11536 17304 34608 67153 134306 201459 268612 402918 470071 537224 805836 940142 1074448 1410213 1611672 1880284 2820426 3223344 3760568 5640852 6916759 7521136 11281704 13833518 20750277 22563408 27667036 41500554 48417313 55334072 83001108 96834626 110668144 145251939 166002216 193669252 290503878 332004432 387338504 581007756 774677008 1162015512 2324031024