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3419064 = 2333111439
BaseRepresentation
bin1101000010101110111000
320102201002000
431002232320
51333402224
6201141000
741030055
oct15025670
96381060
103419064
111a25880
12118a760
1392931c
1465002c
154780c9
hex342bb8

3419064 has 64 divisors (see below), whose sum is σ = 10368000. Its totient is φ = 1035360.

The previous prime is 3419063. The next prime is 3419131. The reversal of 3419064 is 4609143.

3419064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3419063) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1657 + ... + 3095.

It is an arithmetic number, because the mean of its divisors is an integer number (162000).

Almost surely, 23419064 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 3419064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184000).

3419064 is an abundant number, since it is smaller than the sum of its proper divisors (6948936).

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

3419064 is a wasteful number, since it uses less digits than its factorization.

3419064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3419064 is about 1849.0711181564. The cubic root of 3419064 is about 150.6499794434.

The spelling of 3419064 in words is "three million, four hundred nineteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 1439 2376 2878 4317 5756 8634 11512 12951 15829 17268 25902 31658 34536 38853 47487 51804 63316 77706 94974 103608 126632 142461 155412 189948 284922 310824 379896 427383 569844 854766 1139688 1709532 3419064