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3676320 = 253352337
BaseRepresentation
bin1110000001100010100000
320220202222000
432001202200
51420120240
6210444000
743151064
oct16014240
96822860
103676320
11209108a
121293600
139b944b
146b9aa4
154c9430
hex3818a0

3676320 has 192 divisors, whose sum is σ = 13789440. Its totient is φ = 912384.

The previous prime is 3676313. The next prime is 3676327. The reversal of 3676320 is 236763.

It is an interprime number because it is at equal distance from previous prime (3676313) and next prime (3676327).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3676327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 99342 + ... + 99378.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

Almost surely, 23676320 is an apocalyptic number.

3676320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3676320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894720).

3676320 is an abundant number, since it is smaller than the sum of its proper divisors (10113120).

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

3676320 is a wasteful number, since it uses less digits than its factorization.

3676320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 3676320 is about 1917.3732031089. The cubic root of 3676320 is about 154.3373724725.

The spelling of 3676320 in words is "three million, six hundred seventy-six thousand, three hundred twenty".