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2340131472 = 243473153157
BaseRepresentation
bin1000101101111011…
…1001001010010000
320001002100222220000
42023132321022100
514243033201342
61024113050000
7111663534510
oct21336711220
96032328800
102340131472
11aa0a41458
12553856900
132b3a867a3
14182b17840
15da69c44c
hex8b7b9290

2340131472 has 400 divisors, whose sum is σ = 8192904192. Its totient is φ = 630789120.

The previous prime is 2340131467. The next prime is 2340131473. The reversal of 2340131472 is 2741310432.

It is a happy number.

2340131472 is a `hidden beast` number, since 2 + 340 + 1 + 314 + 7 + 2 = 666.

It is a super-3 number, since 3×23401314723 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2340131473) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14905218 + ... + 14905374.

Almost surely, 22340131472 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 2340131472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096452096).

2340131472 is an abundant number, since it is smaller than the sum of its proper divisors (5852772720).

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

2340131472 is a wasteful number, since it uses less digits than its factorization.

2340131472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2340131472 is about 48374.9053952563. The cubic root of 2340131472 is about 1327.6392576308.

The spelling of 2340131472 in words is "two billion, three hundred forty million, one hundred thirty-one thousand, four hundred seventy-two".