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2340325152 = 2532111959659
BaseRepresentation
bin1000101101111110…
…1000011100100000
320001002201211120100
42023133220130200
514243110401102
61024121142400
7111665302254
oct21337503440
96032654510
102340325152
11aa1063a20
1255392aa00
132b3b239a9
14182b68264
15da6d9a1c
hex8b7e8720

2340325152 has 288 divisors, whose sum is σ = 7783776000. Its totient is φ = 659473920.

The previous prime is 2340325123. The next prime is 2340325189. The reversal of 2340325152 is 2515230432.

It is a happy number.

2340325152 is a `hidden beast` number, since 2 + 3 + 403 + 251 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3550999 + ... + 3551657.

It is an arithmetic number, because the mean of its divisors is an integer number (27027000).

Almost surely, 22340325152 is an apocalyptic number.

2340325152 is a gapful number since it is divisible by the number (22) 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 2340325152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891888000).

2340325152 is an abundant number, since it is smaller than the sum of its proper divisors (5443450848).

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

2340325152 is a wasteful number, since it uses less digits than its factorization.

2340325152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2340325152 is about 48376.9072182172. The cubic root of 2340325152 is about 1327.6758837892.

Adding to 2340325152 its reverse (2515230432), we get a palindrome (4855555584).

The spelling of 2340325152 in words is "two billion, three hundred forty million, three hundred twenty-five thousand, one hundred fifty-two".