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3402320 = 24571599
BaseRepresentation
bin1100111110101001010000
320101212002212
430332221100
51332333240
6200531252
740630205
oct14765120
96355085
103402320
111a14239
121180b28
1392180c
14647cac
15473165
hex33ea50

3402320 has 40 divisors (see below), whose sum is σ = 8035200. Its totient is φ = 1339520.

The previous prime is 3402319. The next prime is 3402323. The reversal of 3402320 is 232043.

3402320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 3402295 and 3402304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402323) 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 7 ways as a sum of consecutive naturals, for example, 5381 + ... + 5979.

It is an arithmetic number, because the mean of its divisors is an integer number (200880).

Almost surely, 23402320 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 3402320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017600).

3402320 is an abundant number, since it is smaller than the sum of its proper divisors (4632880).

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

3402320 is a wasteful number, since it uses less digits than its factorization.

3402320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 3402320 is about 1844.5378825061. The cubic root of 3402320 is about 150.4036535253.

Adding to 3402320 its reverse (232043), we get a palindrome (3634363).

It can be divided in two parts, 34023 and 20, that added together give a palindrome (34043).

The spelling of 3402320 in words is "three million, four hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 599 710 1136 1198 1420 2396 2840 2995 4792 5680 5990 9584 11980 23960 42529 47920 85058 170116 212645 340232 425290 680464 850580 1701160 3402320