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3068352 = 26327761
BaseRepresentation
bin1011101101000111000000
312202212222200
423231013000
51241141402
6145433200
735036430
oct13550700
95685880
103068352
111806331
12103b800
138357c1
1459c2c0
1540921c
hex2ed1c0

3068352 has 84 divisors (see below), whose sum is σ = 10064496. Its totient is φ = 875520.

The previous prime is 3068333. The next prime is 3068353. The reversal of 3068352 is 2538603.

3068352 is a `hidden beast` number, since 306 + 8 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3068353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3652 + ... + 4412.

Almost surely, 23068352 is an apocalyptic number.

3068352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3068352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5032248).

3068352 is an abundant number, since it is smaller than the sum of its proper divisors (6996144).

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

3068352 is a wasteful number, since it uses less digits than its factorization.

3068352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3068352 is about 1751.6712020239. The cubic root of 3068352 is about 145.3120824823.

The spelling of 3068352 in words is "three million, sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 761 1008 1344 1522 2016 2283 3044 4032 4566 5327 6088 6849 9132 10654 12176 13698 15981 18264 21308 24352 27396 31962 36528 42616 47943 48704 54792 63924 73056 85232 95886 109584 127848 146112 170464 191772 219168 255696 340928 383544 438336 511392 767088 1022784 1534176 3068352