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3676000040 = 235101909901
BaseRepresentation
bin1101101100011011…
…0100111100101000
3100111012001011001122
43123012310330220
530012024000130
61404433234412
7160044325166
oct33306647450
910435034048
103676000040
111617008269
12867102a08
1346776c96b
1426c2d4236
15167ac52e5
hexdb1b4f28

3676000040 has 32 divisors (see below), whose sum is σ = 8352900360. Its totient is φ = 1455840000.

The previous prime is 3675999989. The next prime is 3676000043. The reversal of 3676000040 is 400006763.

It can be written as a sum of positive squares in 4 ways, for example, as 2630253796 + 1045746244 = 51286^2 + 32338^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3675999973 and 3676000009.

It is not an unprimeable number, because it can be changed into a prime (3676000043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 450911 + ... + 458990.

Almost surely, 23676000040 is an apocalyptic number.

It is an amenable number.

3676000040 is an abundant number, since it is smaller than the sum of its proper divisors (4676900320).

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

3676000040 is a wasteful number, since it uses less digits than its factorization.

3676000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910013 (or 910009 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 3676000040 is about 60630.0258947660. The cubic root of 3676000040 is about 1543.3289487732.

The spelling of 3676000040 in words is "three billion, six hundred seventy-six million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 909901 1819802 3639604 4549505 7279208 9099010 18198020 36396040 91900001 183800002 367600004 459500005 735200008 919000010 1838000020 3676000040