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3067680 = 253571183
BaseRepresentation
bin1011101100111100100000
312202212001210
423230330200
51241131210
6145430120
735034450
oct13547440
95685053
103067680
111805880
12103b340
138353c5
1459bd60
15408e20
hex2ecf20

3067680 has 192 divisors, whose sum is σ = 12192768. Its totient is φ = 629760.

The previous prime is 3067657. The next prime is 3067699. The reversal of 3067680 is 867603.

3067680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36919 + ... + 37001.

It is an arithmetic number, because the mean of its divisors is an integer number (63504).

Almost surely, 23067680 is an apocalyptic number.

3067680 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 3067680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096384).

3067680 is an abundant number, since it is smaller than the sum of its proper divisors (9125088).

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

3067680 is a wasteful number, since it uses less digits than its factorization.

3067680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 3067680 is about 1751.4793747001. The cubic root of 3067680 is about 145.3014734378.

The spelling of 3067680 in words is "three million, sixty-seven thousand, six hundred eighty".