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3928103424 = 2934721933
BaseRepresentation
bin1110101000100010…
…0001101000000000
3101010202102022220000
43222020201220000
531021043302144
61445440520000
7166225220400
oct35210415000
911122368800
103928103424
111736348273
12917620000
134a7a6a86b
1429399a800
1517ecc2769
hexea221a00

3928103424 has 300 divisors, whose sum is σ = 13645590354. Its totient is φ = 1121734656.

The previous prime is 3928103411. The next prime is 3928103467. The reversal of 3928103424 is 4243018293.

3928103424 is a `hidden beast` number, since 39 + 281 + 0 + 342 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3073593600 + 854509824 = 55440^2 + 29232^2 .

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 29 ways as a sum of consecutive naturals, for example, 2031162 + ... + 2033094.

Almost surely, 23928103424 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 3928103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6822795177).

3928103424 is an abundant number, since it is smaller than the sum of its proper divisors (9717486930).

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

3928103424 is an equidigital number, since it uses as much as digits as its factorization.

3928103424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3928103424 is about 62674.5835566540. The cubic root of 3928103424 is about 1577.8327686418.

The spelling of 3928103424 in words is "three billion, nine hundred twenty-eight million, one hundred three thousand, four hundred twenty-four".