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380630016 = 2103413353
BaseRepresentation
bin10110101011111…
…111010000000000
3222112020000020000
4112223333100000
51234420130031
6101434120000
712301205334
oct2653772000
9875200200
10380630016
11185945a68
12a7580000
1360b1bb80
14387a17c4
15236393e6
hex16aff400

380630016 has 220 divisors, whose sum is σ = 1227536772. Its totient is φ = 116785152.

The previous prime is 380630009. The next prime is 380630027. The reversal of 380630016 is 610036083.

It can be written as a sum of positive squares in 2 ways, for example, as 101606400 + 279023616 = 10080^2 + 16704^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1078096 + ... + 1078448.

Almost surely, 2380630016 is an apocalyptic number.

380630016 is a gapful number since it is divisible by the number (36) 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 380630016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613768386).

380630016 is an abundant number, since it is smaller than the sum of its proper divisors (846906756).

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

380630016 is a wasteful number, since it uses less digits than its factorization.

380630016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 380630016 is about 19509.7415667148. The cubic root of 380630016 is about 724.7157131933.

Adding to 380630016 its reverse (610036083), we get a palindrome (990666099).

The spelling of 380630016 in words is "three hundred eighty million, six hundred thirty thousand, sixteen".