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2324130144 = 25378341669
BaseRepresentation
bin1000101010000111…
…0110100101100000
312222222021001012020
42022201312211200
514224434131034
61022342101440
7111410531430
oct21241664540
95888231166
102324130144
11a92a02416
1254a41a880
132b067344b
141809502c0
15d908b249
hex8a876960

2324130144 has 96 divisors (see below), whose sum is σ = 7056564480. Its totient is φ = 656020992.

The previous prime is 2324130113. The next prime is 2324130181. The reversal of 2324130144 is 4410314232.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 34942 + ... + 76610.

It is an arithmetic number, because the mean of its divisors is an integer number (73505880).

Almost surely, 22324130144 is an apocalyptic number.

2324130144 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 2324130144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528282240).

2324130144 is an abundant number, since it is smaller than the sum of its proper divisors (4732434336).

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

2324130144 is a wasteful number, since it uses less digits than its factorization.

2324130144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41772 (or 41764 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2324130144 is about 48209.2329746077. The cubic root of 2324130144 is about 1324.6062946093.

Adding to 2324130144 its reverse (4410314232), we get a palindrome (6734444376).

The spelling of 2324130144 in words is "two billion, three hundred twenty-four million, one hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 83 84 96 112 166 168 224 249 332 336 498 581 664 672 996 1162 1328 1743 1992 2324 2656 3486 3984 4648 6972 7968 9296 13944 18592 27888 41669 55776 83338 125007 166676 250014 291683 333352 500028 583366 666704 875049 1000056 1166732 1333408 1750098 2000112 2333464 3458527 3500196 4000224 4666928 6917054 7000392 9333856 10375581 13834108 14000784 20751162 24209689 27668216 28001568 41502324 48419378 55336432 72629067 83004648 96838756 110672864 145258134 166009296 193677512 290516268 332018592 387355024 581032536 774710048 1162065072 2324130144