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3396008 = 2371137149
BaseRepresentation
bin1100111101000110101000
320101112110002
430331012220
51332133013
6200442132
740602620
oct14750650
96345402
103396008
111a0a520
121179348
1391b995
14645880
15471358
hex33d1a8

3396008 has 64 divisors (see below), whose sum is σ = 8208000. Its totient is φ = 1278720.

The previous prime is 3395999. The next prime is 3396023. The reversal of 3396008 is 8006933.

3396008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 22718 + ... + 22866.

It is an arithmetic number, because the mean of its divisors is an integer number (128250).

Almost surely, 23396008 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 3396008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4104000).

3396008 is an abundant number, since it is smaller than the sum of its proper divisors (4811992).

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

3396008 is a wasteful number, since it uses less digits than its factorization.

3396008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 3396008 is about 1842.8260905468. The cubic root of 3396008 is about 150.3105860943.

The spelling of 3396008 in words is "three million, three hundred ninety-six thousand, eight".

Divisors: 1 2 4 7 8 11 14 22 28 37 44 56 74 77 88 148 149 154 259 296 298 308 407 518 596 616 814 1036 1043 1192 1628 1639 2072 2086 2849 3256 3278 4172 5513 5698 6556 8344 11026 11396 11473 13112 22052 22792 22946 38591 44104 45892 60643 77182 91784 121286 154364 242572 308728 424501 485144 849002 1698004 3396008