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3426688 = 27191409
BaseRepresentation
bin1101000100100110000000
320110002112101
431010212000
51334123223
6201240144
741061226
oct15044600
96402471
103426688
111a30581
121193054
1392c935
14652b16
1547a4ad
hex344980

3426688 has 32 divisors (see below), whose sum is σ = 7191000. Its totient is φ = 1622016.

The previous prime is 3426677. The next prime is 3426691. The reversal of 3426688 is 8866243.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1728 + ... + 3136.

Almost surely, 23426688 is an apocalyptic number.

3426688 is a gapful number since it is divisible by the number (38) 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 3426688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3595500).

3426688 is an abundant number, since it is smaller than the sum of its proper divisors (3764312).

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

3426688 is a wasteful number, since it uses less digits than its factorization.

3426688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1430 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The square root of 3426688 is about 1851.1315458389. The cubic root of 3426688 is about 150.7618719376.

It can be divided in two parts, 3426 and 688, that added together give a palindrome (4114).

The spelling of 3426688 in words is "three million, four hundred twenty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 1216 1409 2432 2818 5636 11272 22544 26771 45088 53542 90176 107084 180352 214168 428336 856672 1713344 3426688