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3680417 = 13893181
BaseRepresentation
bin1110000010100010100001
320220222120202
432002202201
51420233132
6210514545
743166036
oct16024241
96828522
103680417
112094174
121295a55
139bb280
146bb38d
154ca762
hex3828a1

3680417 has 8 divisors (see below), whose sum is σ = 4009320. Its totient is φ = 3358080.

The previous prime is 3680407. The next prime is 3680431. The reversal of 3680417 is 7140863.

It can be written as a sum of positive squares in 4 ways, for example, as 179776 + 3500641 = 424^2 + 1871^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3680417 - 24 = 3680401 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3680417.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3680407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 434 + ... + 2747.

It is an arithmetic number, because the mean of its divisors is an integer number (501165).

Almost surely, 23680417 is an apocalyptic number.

It is an amenable number.

3680417 is a deficient number, since it is larger than the sum of its proper divisors (328903).

3680417 is a wasteful number, since it uses less digits than its factorization.

3680417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3283.

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 3680417 is about 1918.4412943846. The cubic root of 3680417 is about 154.3946839024.

The spelling of 3680417 in words is "three million, six hundred eighty thousand, four hundred seventeen".

Divisors: 1 13 89 1157 3181 41353 283109 3680417