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380416 = 29743
BaseRepresentation
bin1011100111000000000
3201022211111
41130320000
544133131
612053104
73143041
oct1347000
9638744
10380416
1123a8a3
12164194
131041ca
149c8c8
1577ab1
hex5ce00

380416 has 20 divisors (see below), whose sum is σ = 761112. Its totient is φ = 189952.

The previous prime is 380383. The next prime is 380417. The reversal of 380416 is 614083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380417) 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 as a sum of consecutive naturals, namely, 141 + ... + 883.

2380416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380556).

380416 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

380416 is an frugal number, since it uses more digits than its factorization.

380416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 380416 is about 616.7787285567. The cubic root of 380416 is about 72.4579859626.

Adding to 380416 its reverse (614083), we get a palindrome (994499).

The spelling of 380416 in words is "three hundred eighty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 743 1486 2972 5944 11888 23776 47552 95104 190208 380416