Search a number
-
+
3345504 = 25334849
BaseRepresentation
bin1100110000110001100000
320021222011120
430300301200
51324024004
6155412240
740302441
oct14606140
96258146
103345504
111985588
121154080
139019b6
146312c8
154613d9
hex330c60

3345504 has 24 divisors (see below), whose sum is σ = 8782200. Its totient is φ = 1115136.

The previous prime is 3345493. The next prime is 3345509. The reversal of 3345504 is 4055433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×33455042 = 22384794028032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3345509) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17329 + ... + 17520.

It is an arithmetic number, because the mean of its divisors is an integer number (365925).

Almost surely, 23345504 is an apocalyptic number.

It is an amenable number.

3345504 is an abundant number, since it is smaller than the sum of its proper divisors (5436696).

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

3345504 is a wasteful number, since it uses less digits than its factorization.

3345504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34862 (or 34854 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 3345504 is about 1829.0718957985. The cubic root of 3345504 is about 149.5617430080.

The spelling of 3345504 in words is "three million, three hundred forty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 34849 69698 104547 139396 209094 278792 418188 557584 836376 1115168 1672752 3345504