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3845810340 = 22365377129
BaseRepresentation
bin1110010100111010…
…0110100010100100
3100221000120102000000
43211032212202210
530334011412330
61433341021300
7164205564021
oct34516464244
910830512000
103845810340
1116a3950259
128b3b54830
134939b6828
14286a98548
15177969560
hexe53a68a4

3845810340 has 168 divisors, whose sum is σ = 12437771640. Its totient is φ = 997691904.

The previous prime is 3845810233. The next prime is 3845810341. The reversal of 3845810340 is 430185483.

3845810340 is a `hidden beast` number, since 38 + 4 + 581 + 0 + 3 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1285652736 + 2560157604 = 35856^2 + 50598^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3845810295 and 3845810304.

It is not an unprimeable number, because it can be changed into a prime (3845810341) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 535896 + ... + 543024.

It is an arithmetic number, because the mean of its divisors is an integer number (74034355).

Almost surely, 23845810340 is an apocalyptic number.

3845810340 is a gapful number since it is divisible by the number (30) 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 3845810340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6218885820).

3845810340 is an abundant number, since it is smaller than the sum of its proper divisors (8591961300).

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

3845810340 is a wasteful number, since it uses less digits than its factorization.

3845810340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7193 (or 7176 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3845810340 is about 62014.5977976154. The cubic root of 3845810340 is about 1566.7364748332.

The spelling of 3845810340 in words is "three billion, eight hundred forty-five million, eight hundred ten thousand, three hundred forty".