Search a number
-
+
3934262016 = 2834337563
BaseRepresentation
bin1110101010000000…
…0001001100000000
3101011012000012220000
43222200001030000
531024132341031
61450220520000
7166331450436
oct35240011400
911135005800
103934262016
111739874313
129196b0000
134a9115ab9
14294720d56
151805dc3e6
hexea801300

3934262016 has 180 divisors, whose sum is σ = 11786967192. Its totient is φ = 1305206784.

The previous prime is 3934261997. The next prime is 3934262021. The reversal of 3934262016 is 6102624393.

3934262016 is a `hidden beast` number, since 393 + 4 + 262 + 0 + 1 + 6 = 666.

It is a super-2 number, since 2×39342620162 = 30956835221080768512, which contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 6987751 + ... + 6988313.

Almost surely, 23934262016 is an apocalyptic number.

3934262016 is a gapful number since it is divisible by the number (36) 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 3934262016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5893483596).

3934262016 is an abundant number, since it is smaller than the sum of its proper divisors (7852705176).

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

3934262016 is an equidigital number, since it uses as much as digits as its factorization.

3934262016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3934262016 is about 62723.6958094786. The cubic root of 3934262016 is about 1578.6569284056.

The spelling of 3934262016 in words is "three billion, nine hundred thirty-four million, two hundred sixty-two thousand, sixteen".