[go: up one dir, main page]

Search a number
-
+
3404064 = 25359601
BaseRepresentation
bin1100111111000100100000
320101221111110
430333010200
51332412224
6200543320
740635246
oct14770440
96357443
103404064
111a15584
121181b40
13922551
14648796
15473929
hex33f120

3404064 has 48 divisors (see below), whose sum is σ = 9102240. Its totient is φ = 1113600.

The previous prime is 3404057. The next prime is 3404081. The reversal of 3404064 is 4604043.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3404064.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5364 + ... + 5964.

It is an arithmetic number, because the mean of its divisors is an integer number (189630).

Almost surely, 23404064 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 3404064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4551120).

3404064 is an abundant number, since it is smaller than the sum of its proper divisors (5698176).

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

3404064 is a wasteful number, since it uses less digits than its factorization.

3404064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3404064 is about 1845.0105690754. The cubic root of 3404064 is about 150.4293476757.

Subtracting from 3404064 its sum of digits (21), we obtain a palindrome (3404043).

The spelling of 3404064 in words is "three million, four hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 601 708 944 1202 1416 1803 1888 2404 2832 3606 4808 5664 7212 9616 14424 19232 28848 35459 57696 70918 106377 141836 212754 283672 425508 567344 851016 1134688 1702032 3404064