Search a number
-
+
3390304 = 25531999
BaseRepresentation
bin1100111011101101100000
320101020121211
430323231200
51331442204
6200355504
740550161
oct14735540
96336554
103390304
111a06205
121175b94
139191c8
14643768
1546e804
hex33bb60

3390304 has 24 divisors (see below), whose sum is σ = 6804000. Its totient is φ = 1662336.

The previous prime is 3390287. The next prime is 3390307. The reversal of 3390304 is 4030933.

It is a super-2 number, since 2×33903042 = 22988322424832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3390307) 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, 697 + ... + 2695.

It is an arithmetic number, because the mean of its divisors is an integer number (283500).

Almost surely, 23390304 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 3390304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402000).

3390304 is an abundant number, since it is smaller than the sum of its proper divisors (3413696).

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

3390304 is a wasteful number, since it uses less digits than its factorization.

3390304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

The square root of 3390304 is about 1841.2778171694. The cubic root of 3390304 is about 150.2263840890.

The spelling of 3390304 in words is "three million, three hundred ninety thousand, three hundred four".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1696 1999 3998 7996 15992 31984 63968 105947 211894 423788 847576 1695152 3390304