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380807766 = 232196716619
BaseRepresentation
bin10110101100101…
…010101001010110
3222112120001001100
4112230222221112
51234441322031
6101442010530
712302545503
oct2654525126
9875501040
10380807766
11185a57569
12a7646a46
1360b81a51
143880a4aa
1523671de6
hex16b2aa56

380807766 has 48 divisors (see below), whose sum is σ = 881524800. Its totient is φ = 118453104.

The previous prime is 380807759. The next prime is 380807767. The reversal of 380807766 is 667708083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380807767) 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, 14605 + ... + 31223.

It is an arithmetic number, because the mean of its divisors is an integer number (18365100).

Almost surely, 2380807766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380807766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440762400).

380807766 is an abundant number, since it is smaller than the sum of its proper divisors (500717034).

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

380807766 is a wasteful number, since it uses less digits than its factorization.

380807766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16713 (or 16710 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 380807766 is about 19514.2964515762. The cubic root of 380807766 is about 724.8285070400.

The spelling of 380807766 in words is "three hundred eighty million, eight hundred seven thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 18 19 38 57 67 114 134 171 201 342 402 603 1206 1273 2546 3819 7638 11457 16619 22914 33238 49857 99714 149571 299142 315761 631522 947283 1113473 1894566 2226946 2841849 3340419 5683698 6680838 10021257 20042514 21155987 42311974 63467961 126935922 190403883 380807766