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3680094 = 2311237137
BaseRepresentation
bin1110000010011101011110
320220222010210
432002131132
51420230334
6210513250
743165065
oct16023536
96828123
103680094
112093a00
121295826
139bb092
146bb1dc
154ca5e9
hex38275e

3680094 has 48 divisors (see below), whose sum is σ = 8369424. Its totient is φ = 1077120.

The previous prime is 3680093. The next prime is 3680101. The reversal of 3680094 is 4900863.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3680093) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26794 + ... + 26930.

It is an arithmetic number, because the mean of its divisors is an integer number (174363).

Almost surely, 23680094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3680094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184712).

3680094 is an abundant number, since it is smaller than the sum of its proper divisors (4689330).

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

3680094 is a wasteful number, since it uses less digits than its factorization.

3680094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3680094 is about 1918.3571096123. The cubic root of 3680094 is about 154.3901671188.

The spelling of 3680094 in words is "three million, six hundred eighty thousand, ninety-four".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 121 137 222 242 274 363 407 411 726 814 822 1221 1507 2442 3014 4477 4521 5069 8954 9042 10138 13431 15207 16577 26862 30414 33154 49731 55759 99462 111518 167277 334554 613349 1226698 1840047 3680094