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3846040704 = 2737111249
BaseRepresentation
bin1110010100111101…
…1110110010000000
3100221001000010000000
43211033132302000
530334041300304
61433350000000
7164210543442
oct34517366200
910831003000
103846040704
1116a3a98340
128b4046000
13493a6763c
14286b18492
151779b2939
hexe53dec80

3846040704 has 256 divisors, whose sum is σ = 12546000000. Its totient is φ = 1164533760.

The previous prime is 3846040687. The next prime is 3846040769. The reversal of 3846040704 is 4070406483.

3846040704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3078672 + ... + 3079920.

Almost surely, 23846040704 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 3846040704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6273000000).

3846040704 is an abundant number, since it is smaller than the sum of its proper divisors (8699959296).

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

3846040704 is an equidigital number, since it uses as much as digits as its factorization.

3846040704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3846040704 is about 62016.4551066892. The cubic root of 3846040704 is about 1566.7677567082.

The spelling of 3846040704 in words is "three billion, eight hundred forty-six million, forty thousand, seven hundred four".