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2329040512 = 2761313953
BaseRepresentation
bin1000101011010010…
…0101011010000000
320000022111111221201
42022310211122000
514232213244022
61023035230544
7111500342401
oct21264453200
96008444851
102329040512
11a95756677
1254bba8454
132b16a24a6
1418146b9a8
15d970b127
hex8ad25680

2329040512 has 64 divisors (see below), whose sum is σ = 4735980360. Its totient is φ = 1140572160.

The previous prime is 2329040503. The next prime is 2329040537. The reversal of 2329040512 is 2150409232.

It can be written as a sum of positive squares in 4 ways, for example, as 499254336 + 1829786176 = 22344^2 + 42776^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2443428 + ... + 2444380.

Almost surely, 22329040512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2329040512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367990180).

2329040512 is an abundant number, since it is smaller than the sum of its proper divisors (2406939848).

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

2329040512 is an equidigital number, since it uses as much as digits as its factorization.

2329040512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 2329040512 is about 48260.1337751979. The cubic root of 2329040512 is about 1325.5385041693.

Adding to 2329040512 its reverse (2150409232), we get a palindrome (4479449744).

The spelling of 2329040512 in words is "two billion, three hundred twenty-nine million, forty thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 313 488 626 953 976 1252 1906 1952 2504 3812 3904 5008 7624 7808 10016 15248 19093 20032 30496 38186 40064 58133 60992 76372 116266 121984 152744 232532 298289 305488 465064 596578 610976 930128 1193156 1221952 1860256 2386312 2443904 3720512 4772624 7441024 9545248 18195629 19090496 36391258 38180992 72782516 145565032 291130064 582260128 1164520256 2329040512