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3398928 = 243132419
BaseRepresentation
bin1100111101110100010000
320101200110020
430331310100
51332231203
6200503440
740614261
oct14756420
96350406
103398928
111a11735
12117ab80
13920100
14646968
15472153
hex33dd10

3398928 has 60 divisors (see below), whose sum is σ = 9530640. Its totient is φ = 1043328.

The previous prime is 3398873. The next prime is 3398939. The reversal of 3398928 is 8298933.

3398928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3398928.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7903 + ... + 8321.

It is an arithmetic number, because the mean of its divisors is an integer number (158844).

Almost surely, 23398928 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 3398928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4765320).

3398928 is an abundant number, since it is smaller than the sum of its proper divisors (6131712).

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

3398928 is a wasteful number, since it uses less digits than its factorization.

3398928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 437 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 3398928 is about 1843.6181817285. The cubic root of 3398928 is about 150.3536544239.

It can be divided in two parts, 339892 and 8, that added together give a triangular number (339900 = T824).

The spelling of 3398928 in words is "three million, three hundred ninety-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 419 507 624 676 838 1014 1257 1352 1676 2028 2514 2704 3352 4056 5028 5447 6704 8112 10056 10894 16341 20112 21788 32682 43576 65364 70811 87152 130728 141622 212433 261456 283244 424866 566488 849732 1132976 1699464 3398928