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3344896 = 2947139
BaseRepresentation
bin1100110000101000000000
320021221100001
430300220000
51324014041
6155405344
740300612
oct14605000
96257301
103344896
111985085
121153854
13901639
14630db2
15461131
hex330a00

3344896 has 40 divisors (see below), whose sum is σ = 6874560. Its totient is φ = 1625088.

The previous prime is 3344833. The next prime is 3344897. The reversal of 3344896 is 6984433.

It is a super-2 number, since 2×33448962 = 22376658501632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3344897) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23995 + ... + 24133.

It is an arithmetic number, because the mean of its divisors is an integer number (171864).

Almost surely, 23344896 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 3344896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437280).

3344896 is an abundant number, since it is smaller than the sum of its proper divisors (3529664).

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

3344896 is an equidigital number, since it uses as much as digits as its factorization.

3344896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 188 counting only the distinct ones).

The product of its digits is 62208, while the sum is 37.

The square root of 3344896 is about 1828.9056837355. The cubic root of 3344896 is about 149.5526821860.

The spelling of 3344896 in words is "three million, three hundred forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 47 64 94 128 139 188 256 278 376 512 556 752 1112 1504 2224 3008 4448 6016 6533 8896 12032 13066 17792 24064 26132 35584 52264 71168 104528 209056 418112 836224 1672448 3344896