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3397968 = 243273371
BaseRepresentation
bin1100111101100101010000
320101122010200
430331211100
51332213333
6200455200
740611420
oct14754520
96348120
103397968
111a10a42
12117a500
1391c842
14646480
15471c13
hex33d950

3397968 has 60 divisors (see below), whose sum is σ = 10871328. Its totient is φ = 970560.

The previous prime is 3397967. The next prime is 3397973. The reversal of 3397968 is 8697933.

It is a happy number.

3397968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3397967) 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 11 ways as a sum of consecutive naturals, for example, 678 + ... + 2693.

Almost surely, 23397968 is an apocalyptic number.

It is an amenable number.

3397968 is an abundant number, since it is smaller than the sum of its proper divisors (7473360).

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

3397968 is a wasteful number, since it uses less digits than its factorization.

3397968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392 (or 3383 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 3397968 is about 1843.3578057447. The cubic root of 3397968 is about 150.3394976957.

The spelling of 3397968 in words is "three million, three hundred ninety-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 3371 6742 10113 13484 20226 23597 26968 30339 40452 47194 53936 60678 70791 80904 94388 121356 141582 161808 188776 212373 242712 283164 377552 424746 485424 566328 849492 1132656 1698984 3397968