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3829716 = 22321119509
BaseRepresentation
bin1110100110111111010100
321012120101100
432212333110
51440022331
6214030100
744360232
oct16467724
97176340
103829716
112186360
121348330
13a41207
14719952
15509ae6
hex3a6fd4

3829716 has 72 divisors (see below), whose sum is σ = 11138400. Its totient is φ = 1097280.

The previous prime is 3829691. The next prime is 3829729. The reversal of 3829716 is 6179283.

3829716 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7270 + ... + 7778.

It is an arithmetic number, because the mean of its divisors is an integer number (154700).

Almost surely, 23829716 is an apocalyptic number.

3829716 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3829716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5569200).

3829716 is an abundant number, since it is smaller than the sum of its proper divisors (7308684).

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

3829716 is a wasteful number, since it uses less digits than its factorization.

3829716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 544 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 3829716 is about 1956.9660191225. The cubic root of 3829716 is about 156.4547872673.

The spelling of 3829716 in words is "three million, eight hundred twenty-nine thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 509 627 684 836 1018 1254 1527 1881 2036 2508 3054 3762 4581 5599 6108 7524 9162 9671 11198 16797 18324 19342 22396 29013 33594 38684 50391 58026 67188 87039 100782 106381 116052 174078 201564 212762 319143 348156 425524 638286 957429 1276572 1914858 3829716