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380321800 = 23527924071
BaseRepresentation
bin10110101010110…
…100000000001000
3222111122100102121
4112222310000020
51234330244200
6101423341024
712265452625
oct2652640010
9874570377
10380321800
11185755441
12a7451774
1360a417b1
143872134c
15235c7e1a
hex16ab4008

380321800 has 48 divisors (see below), whose sum is σ = 895478400. Its totient is φ = 150196800.

The previous prime is 380321797. The next prime is 380321801. The reversal of 380321800 is 8123083.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (380321801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3765 + ... + 27835.

It is an arithmetic number, because the mean of its divisors is an integer number (18655800).

Almost surely, 2380321800 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 380321800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447739200).

380321800 is an abundant number, since it is smaller than the sum of its proper divisors (515156600).

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

380321800 is a wasteful number, since it uses less digits than its factorization.

380321800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24166 (or 24157 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 380321800 is about 19501.8409387422. The cubic root of 380321800 is about 724.5200469845.

Adding to 380321800 its reverse (8123083), we get a palindrome (388444883).

The spelling of 380321800 in words is "three hundred eighty million, three hundred twenty-one thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 158 200 316 395 632 790 1580 1975 3160 3950 7900 15800 24071 48142 96284 120355 192568 240710 481420 601775 962840 1203550 1901609 2407100 3803218 4814200 7606436 9508045 15212872 19016090 38032180 47540225 76064360 95080450 190160900 380321800