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3820844032 = 21010493557
BaseRepresentation
bin1110001110111101…
…0111010000000000
3100212021120222122221
43203233113100000
530311114002112
61431045540424
7163453431655
oct34357272000
910767528587
103820844032
111690848745
128a7714714
1348b784a75
14283639c2c
15175686e07
hexe3bd7400

3820844032 has 44 divisors (see below), whose sum is σ = 7647387300. Its totient is φ = 1908064256.

The previous prime is 3820844003. The next prime is 3820844033. The reversal of 3820844032 is 2304480283.

It can be written as a sum of positive squares in 2 ways, for example, as 2001309696 + 1819534336 = 44736^2 + 42656^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3820844033) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1072398 + ... + 1075954.

Almost surely, 23820844032 is an apocalyptic number.

3820844032 is a gapful number since it is divisible by the number (32) 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 3820844032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823693650).

3820844032 is an abundant number, since it is smaller than the sum of its proper divisors (3826543268).

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

3820844032 is a wasteful number, since it uses less digits than its factorization.

3820844032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4626 (or 4608 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 3820844032 is about 61812.9762428570. The cubic root of 3820844032 is about 1563.3387881399.

The spelling of 3820844032 in words is "three billion, eight hundred twenty million, eight hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1049 2098 3557 4196 7114 8392 14228 16784 28456 33568 56912 67136 113824 134272 227648 268544 455296 537088 910592 1074176 1821184 3642368 3731293 7462586 14925172 29850344 59700688 119401376 238802752 477605504 955211008 1910422016 3820844032