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3680388 = 2232102233
BaseRepresentation
bin1110000010100010000100
320220222112200
432002202010
51420233023
6210514500
743165665
oct16024204
96828480
103680388
112094148
121295a30
139bb25a
146bb36c
154ca743
hex382884

3680388 has 18 divisors (see below), whose sum is σ = 9303294. Its totient is φ = 1226784.

The previous prime is 3680371. The next prime is 3680399. The reversal of 3680388 is 8830863.

It can be written as a sum of positive squares in only one way, i.e., 3090564 + 589824 = 1758^2 + 768^2 .

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

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: 102233 = 3680388 / (3 + 6 + 8 + 0 + 3 + 8 + 8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51081 + ... + 51152.

Almost surely, 23680388 is an apocalyptic number.

It is an amenable number.

3680388 is an abundant number, since it is smaller than the sum of its proper divisors (5622906).

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

3680388 is a wasteful number, since it uses less digits than its factorization.

3680388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102243 (or 102238 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3680388 is about 1918.4337361504. The cubic root of 3680388 is about 154.3942783816.

The spelling of 3680388 in words is "three million, six hundred eighty thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 102233 204466 306699 408932 613398 920097 1226796 1840194 3680388