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3934208 = 21117113
BaseRepresentation
bin1111000000100000000000
321101212201102
433000200000
52001343313
6220153532
745303665
oct17004000
97355642
103934208
112247913
1213988a8
13a79945
14745a6c
1552aa58
hex3c0800

3934208 has 48 divisors (see below), whose sum is σ = 8402940. Its totient is φ = 1835008.

The previous prime is 3934207. The next prime is 3934261. The reversal of 3934208 is 8024393.

It can be written as a sum of positive squares in 2 ways, for example, as 3810304 + 123904 = 1952^2 + 352^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3934201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34760 + ... + 34872.

Almost surely, 23934208 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 3934208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4201470).

3934208 is an abundant number, since it is smaller than the sum of its proper divisors (4468732).

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

3934208 is a wasteful number, since it uses less digits than its factorization.

3934208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 3934208 is about 1983.4838038159. The cubic root of 3934208 is about 157.8649703576.

The spelling of 3934208 in words is "three million, nine hundred thirty-four thousand, two hundred eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 113 128 136 226 256 272 452 512 544 904 1024 1088 1808 1921 2048 2176 3616 3842 4352 7232 7684 8704 14464 15368 17408 28928 30736 34816 57856 61472 115712 122944 231424 245888 491776 983552 1967104 3934208