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3722016 = 253137283
BaseRepresentation
bin1110001100101100100000
321000002122110
432030230200
51423101031
6211435320
743431234
oct16145440
97002573
103722016
112112451
1212b5b40
13a0419c
146cc5c4
154d7c46
hex38cb20

3722016 has 48 divisors (see below), whose sum is σ = 9876384. Its totient is φ = 1227264.

The previous prime is 3722011. The next prime is 3722027. The reversal of 3722016 is 6102273.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 3721983 and 3722001.

It is not an unprimeable number, because it can be changed into a prime (3722011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13011 + ... + 13293.

It is an arithmetic number, because the mean of its divisors is an integer number (205758).

Almost surely, 23722016 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 3722016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4938192).

3722016 is an abundant number, since it is smaller than the sum of its proper divisors (6154368).

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

3722016 is a wasteful number, since it uses less digits than its factorization.

3722016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 3722016 is about 1929.2527050648. The cubic root of 3722016 is about 154.9742031297.

Adding to 3722016 its reverse (6102273), we get a palindrome (9824289).

The spelling of 3722016 in words is "three million, seven hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 274 283 411 548 566 822 849 1096 1132 1644 1698 2192 2264 3288 3396 4384 4528 6576 6792 9056 13152 13584 27168 38771 77542 116313 155084 232626 310168 465252 620336 930504 1240672 1861008 3722016