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3394144 = 251341199
BaseRepresentation
bin1100111100101001100000
320101102220001
430330221200
51332103034
6200425344
740564315
oct14745140
96342801
103394144
111a09086
121178254
1391ab90
14644d0c
15470a14
hex33ca60

3394144 has 48 divisors (see below), whose sum is σ = 7408800. Its totient is φ = 1520640.

The previous prime is 3394129. The next prime is 3394163. The reversal of 3394144 is 4414933.

It is a congruent number.

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, 16957 + ... + 17155.

It is an arithmetic number, because the mean of its divisors is an integer number (154350).

Almost surely, 23394144 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 3394144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3704400).

3394144 is an abundant number, since it is smaller than the sum of its proper divisors (4014656).

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

3394144 is a wasteful number, since it uses less digits than its factorization.

3394144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 255 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 3394144 is about 1842.3202761735. The cubic root of 3394144 is about 150.2830802492.

The spelling of 3394144 in words is "three million, three hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 199 208 328 398 416 533 656 796 1066 1312 1592 2132 2587 3184 4264 5174 6368 8159 8528 10348 16318 17056 20696 32636 41392 65272 82784 106067 130544 212134 261088 424268 848536 1697072 3394144