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3676101 = 3112131941
BaseRepresentation
bin1110000001011111000101
320220202122220
432001133011
51420113401
6210442553
743150332
oct16013705
96822586
103676101
112090a00
121293459
139b9310
146b9989
154c9336
hex3817c5

3676101 has 48 divisors (see below), whose sum is σ = 6256320. Its totient is φ = 1900800.

The previous prime is 3676093. The next prime is 3676103. The reversal of 3676101 is 1016763.

3676101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3676101 - 23 = 3676093 is a prime.

It is a super-3 number, since 3×36761013 (a number of 21 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3676103) 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 47 ways as a sum of consecutive naturals, for example, 89641 + ... + 89681.

It is an arithmetic number, because the mean of its divisors is an integer number (130340).

Almost surely, 23676101 is an apocalyptic number.

It is an amenable number.

3676101 is a deficient number, since it is larger than the sum of its proper divisors (2580219).

3676101 is a wasteful number, since it uses less digits than its factorization.

3676101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 3676101 is about 1917.3160928757. The cubic root of 3676101 is about 154.3343077633.

The spelling of 3676101 in words is "three million, six hundred seventy-six thousand, one hundred one".

Divisors: 1 3 11 13 19 33 39 41 57 121 123 143 209 247 363 429 451 533 627 741 779 1353 1573 1599 2299 2337 2717 4719 4961 5863 6897 8151 8569 10127 14883 17589 25707 29887 30381 64493 89661 94259 111397 193479 282777 334191 1225367 3676101