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3402168 = 2337211263
BaseRepresentation
bin1100111110100110111000
320101211220020
430332212320
51332332133
6200530440
740626600
oct14764670
96354806
103402168
111a14110
121180a20
13921723
14647c00
154730b3
hex33e9b8

3402168 has 96 divisors (see below), whose sum is σ = 10834560. Its totient is φ = 880320.

The previous prime is 3402151. The next prime is 3402169. The reversal of 3402168 is 8612043.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12805 + ... + 13067.

It is an arithmetic number, because the mean of its divisors is an integer number (112860).

Almost surely, 23402168 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 3402168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5417280).

3402168 is an abundant number, since it is smaller than the sum of its proper divisors (7432392).

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

3402168 is a wasteful number, since it uses less digits than its factorization.

3402168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3402168 is about 1844.4966793139. The cubic root of 3402168 is about 150.4014137109.

It can be divided in two parts, 3402 and 168, that multiplied together give a square (571536 = 7562).

The spelling of 3402168 in words is "three million, four hundred two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 263 264 294 308 392 462 526 539 588 616 789 924 1052 1078 1176 1578 1617 1841 1848 2104 2156 2893 3156 3234 3682 4312 5523 5786 6312 6468 7364 8679 11046 11572 12887 12936 14728 17358 20251 22092 23144 25774 34716 38661 40502 44184 51548 60753 69432 77322 81004 103096 121506 141757 154644 162008 243012 283514 309288 425271 486024 567028 850542 1134056 1701084 3402168