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3722240 = 2105727
BaseRepresentation
bin1110001100110000000000
321000002221202
432030300000
51423102430
6211440332
743432004
oct16146000
97002852
103722240
112112635
1212b60a8
13a04312
146cc704
154d7d45
hex38cc00

3722240 has 44 divisors (see below), whose sum is σ = 8941296. Its totient is φ = 1486848.

The previous prime is 3722231. The next prime is 3722249. The reversal of 3722240 is 422273.

It is a happy number.

3722240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3722231) and next prime (3722249).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (3722249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4757 + ... + 5483.

Almost surely, 23722240 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 3722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4470648).

3722240 is an abundant number, since it is smaller than the sum of its proper divisors (5219056).

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

3722240 is an equidigital number, since it uses as much as digits as its factorization.

3722240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 3722240 is about 1929.3107577578. The cubic root of 3722240 is about 154.9773119758.

The spelling of 3722240 in words is "three million, seven hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 727 1024 1280 1454 2560 2908 3635 5120 5816 7270 11632 14540 23264 29080 46528 58160 93056 116320 186112 232640 372224 465280 744448 930560 1861120 3722240