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3680325 = 3252111487
BaseRepresentation
bin1110000010100001000101
320220222110100
432002201011
51420232300
6210514313
743165545
oct16024105
96828410
103680325
1120940a0
121295999
139bb20c
146bb325
154ca700
hex382845

3680325 has 36 divisors (see below), whose sum is σ = 7195968. Its totient is φ = 1783200.

The previous prime is 3680321. The next prime is 3680363. The reversal of 3680325 is 5230863.

It is not a de Polignac number, because 3680325 - 22 = 3680321 is a prime.

It is an Ulam number.

3680325 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3680321) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1732 + ... + 3218.

It is an arithmetic number, because the mean of its divisors is an integer number (199888).

Almost surely, 23680325 is an apocalyptic number.

It is an amenable number.

3680325 is a deficient number, since it is larger than the sum of its proper divisors (3515643).

3680325 is a wasteful number, since it uses less digits than its factorization.

3680325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3680325 is about 1918.4173164356. The cubic root of 3680325 is about 154.3933974151.

It can be divided in two parts, 3680 and 325, that added together give a triangular number (4005 = T89).

The spelling of 3680325 in words is "three million, six hundred eighty thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 165 225 275 495 825 1487 2475 4461 7435 13383 16357 22305 37175 49071 66915 81785 111525 147213 245355 334575 408925 736065 1226775 3680325