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3713328 = 2432107241
BaseRepresentation
bin1110001010100100110000
320222122201200
432022210300
51422311303
6211331200
743364013
oct16124460
96878650
103713328
112106973
1212b0b00
13a00248
146c937a
154d53a3
hex38a930

3713328 has 60 divisors (see below), whose sum is σ = 10532808. Its totient is φ = 1221120.

The previous prime is 3713323. The next prime is 3713387. The reversal of 3713328 is 8233173.

It is a Cunningham number, because it is equal to 19272-1.

It is not an unprimeable number, because it can be changed into a prime (3713323) 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, 15288 + ... + 15528.

Almost surely, 23713328 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 3713328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266404).

3713328 is an abundant number, since it is smaller than the sum of its proper divisors (6819480).

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

3713328 is a wasteful number, since it uses less digits than its factorization.

3713328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 353 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 3713328 is about 1926.9997405293. Note that the first 3 decimals coincide. The cubic root of 3713328 is about 154.8535279501.

The spelling of 3713328 in words is "three million, seven hundred thirteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 214 241 321 428 482 642 723 856 963 964 1284 1446 1712 1926 1928 2169 2568 2892 3852 3856 4338 5136 5784 7704 8676 11568 15408 17352 25787 34704 51574 77361 103148 154722 206296 232083 309444 412592 464166 618888 928332 1237776 1856664 3713328