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3734368 = 25111032
BaseRepresentation
bin1110001111101101100000
321000201120221
432033231200
51423444433
6212012424
743512241
oct16175540
97021527
103734368
112120760
121301114
13a099b1
146d2cc8
154db72d
hex38fb60

3734368 has 36 divisors (see below), whose sum is σ = 8099028. Its totient is φ = 1680960.

The previous prime is 3734329. The next prime is 3734371. The reversal of 3734368 is 8634373.

It is a happy number.

It is a d-powerful number, because it can be written as 312 + 74 + 313 + 46 + 313 + 65 + 8 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36205 + ... + 36307.

It is an arithmetic number, because the mean of its divisors is an integer number (224973).

Almost surely, 23734368 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 3734368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049514).

3734368 is an abundant number, since it is smaller than the sum of its proper divisors (4364660).

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

3734368 is a wasteful number, since it uses less digits than its factorization.

3734368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 116 counting only the distinct ones).

The product of its digits is 36288, while the sum is 34.

The square root of 3734368 is about 1932.4512930473. The cubic root of 3734368 is about 155.1454479334.

The spelling of 3734368 in words is "three million, seven hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 103 176 206 352 412 824 1133 1648 2266 3296 4532 9064 10609 18128 21218 36256 42436 84872 116699 169744 233398 339488 466796 933592 1867184 3734368