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3835476 = 2232106541
BaseRepresentation
bin1110101000011001010100
321012212021200
432220121110
51440213401
6214112500
744413101
oct16503124
97185250
103835476
11218a717
12134b730
13a43a18
1471baa8
1550b686
hex3a8654

3835476 has 18 divisors (see below), whose sum is σ = 9695322. Its totient is φ = 1278480.

The previous prime is 3835441. The next prime is 3835483. The reversal of 3835476 is 6745383.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2322576 + 1512900 = 1524^2 + 1230^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×38354762 = 29421752293152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 106541 = 3835476 / (3 + 8 + 3 + 5 + 4 + 7 + 6).

It is a d-powerful number, because it can be written as 37 + 87 + 313 + 5 + 47 + 76 + 65 .

It is a self number, because there is not a number n which added to its sum of digits gives 3835476.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53235 + ... + 53306.

It is an arithmetic number, because the mean of its divisors is an integer number (538629).

Almost surely, 23835476 is an apocalyptic number.

3835476 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3835476 is an abundant number, since it is smaller than the sum of its proper divisors (5859846).

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

3835476 is a wasteful number, since it uses less digits than its factorization.

3835476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106551 (or 106546 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 3835476 is about 1958.4371320009. The cubic root of 3835476 is about 156.5331854351.

The spelling of 3835476 in words is "three million, eight hundred thirty-five thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 106541 213082 319623 426164 639246 958869 1278492 1917738 3835476