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380001216 = 26371923647
BaseRepresentation
bin10110101001100…
…101101111000000
3222111001001200010
4112221211233000
51234240014331
6101412424520
712262646160
oct2651455700
9874031603
10380001216
111855565a1
12a7318140
136095b8ba
143867a5a0
1523562e46
hex16a65bc0

380001216 has 224 divisors, whose sum is σ = 1264066560. Its totient is φ = 98233344.

The previous prime is 380001203. The next prime is 380001227. The reversal of 380001216 is 612100083.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×3800012162 = 288801848322957312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 380001192 and 380001201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587005 + ... + 587651.

Almost surely, 2380001216 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 380001216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632033280).

380001216 is an abundant number, since it is smaller than the sum of its proper divisors (884065344).

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

380001216 is a wasteful number, since it uses less digits than its factorization.

380001216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 380001216 is about 19493.6198793349. The cubic root of 380001216 is about 724.3164169467.

Adding to 380001216 its reverse (612100083), we get a palindrome (992101299).

The spelling of 380001216 in words is "three hundred eighty million, one thousand, two hundred sixteen".