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3729036 = 2232359229
BaseRepresentation
bin1110001110011010001100
321000110021110
432032122030
51423312121
6211532020
743460553
oct16163214
97013243
103729036
112117753
1212ba010
13a0743c
146d0d9a
154d9d76
hex38e68c

3729036 has 48 divisors (see below), whose sum is σ = 9273600. Its totient is φ = 1163712.

The previous prime is 3729031. The next prime is 3729041. The reversal of 3729036 is 6309273.

It is a happy number.

3729036 is digitally balanced in base 2, 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 (3729031) and next prime (3729041).

It is a junction number, because it is equal to n+sod(n) for n = 3728994 and 3729012.

It is not an unprimeable number, because it can be changed into a prime (3729031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16170 + ... + 16398.

It is an arithmetic number, because the mean of its divisors is an integer number (193200).

Almost surely, 23729036 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 3729036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636800).

3729036 is an abundant number, since it is smaller than the sum of its proper divisors (5544564).

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

3729036 is a wasteful number, since it uses less digits than its factorization.

3729036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 3729036 is about 1931.0712053158. The cubic root of 3729036 is about 155.0715729114.

The spelling of 3729036 in words is "three million, seven hundred twenty-nine thousand, thirty-six".

Divisors: 1 2 3 4 6 12 23 46 59 69 92 118 138 177 229 236 276 354 458 687 708 916 1357 1374 2714 2748 4071 5267 5428 8142 10534 13511 15801 16284 21068 27022 31602 40533 54044 63204 81066 162132 310753 621506 932259 1243012 1864518 3729036