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3724420 = 225737719
BaseRepresentation
bin1110001101010010000100
321000012221111
432031102010
51423140140
6211454404
743441240
oct16152204
97005844
103724420
112114237
1212b7404
13a052cb
146cd420
154d87ea
hex38d484

3724420 has 48 divisors (see below), whose sum is σ = 9192960. Its totient is φ = 1240704.

The previous prime is 3724403. The next prime is 3724423. The reversal of 3724420 is 244273.

It is a d-powerful number, because it can be written as 313 + 72 + 215 + 43 + 43 + 221 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 3724391 and 3724400.

It is not an unprimeable number, because it can be changed into a prime (3724423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4821 + ... + 5539.

It is an arithmetic number, because the mean of its divisors is an integer number (191520).

Almost surely, 23724420 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 3724420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480).

3724420 is an abundant number, since it is smaller than the sum of its proper divisors (5468540).

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

3724420 is a wasteful number, since it uses less digits than its factorization.

3724420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 3724420 is about 1929.8756436620. The cubic root of 3724420 is about 155.0075611990.

Adding to 3724420 its reverse (244273), we get a palindrome (3968693).

The spelling of 3724420 in words is "three million, seven hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 518 719 740 1036 1295 1438 2590 2876 3595 5033 5180 7190 10066 14380 20132 25165 26603 50330 53206 100660 106412 133015 186221 266030 372442 532060 744884 931105 1862210 3724420