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380383230 = 235191394801
BaseRepresentation
bin10110101011000…
…010111111111110
3222111202110200210
4112223002333332
51234334230410
6101424533250
712266130003
oct2653027776
9874673623
10380383230
11185797607
12a7481226
1360a63746
14387398aa
15235db220
hex16ac2ffe

380383230 has 64 divisors (see below), whose sum is σ = 968083200. Its totient is φ = 95385600.

The previous prime is 380383229. The next prime is 380383247. The reversal of 380383230 is 32383083.

380383230 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76830 + ... + 81630.

It is an arithmetic number, because the mean of its divisors is an integer number (15126300).

Almost surely, 2380383230 is an apocalyptic number.

380383230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 380383230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484041600).

380383230 is an abundant number, since it is smaller than the sum of its proper divisors (587699970).

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

380383230 is a wasteful number, since it uses less digits than its factorization.

380383230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4969.

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 380383230 is about 19503.4158546650. The cubic root of 380383230 is about 724.5590533123.

The spelling of 380383230 in words is "three hundred eighty million, three hundred eighty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 139 190 278 285 417 570 695 834 1390 2085 2641 4170 4801 5282 7923 9602 13205 14403 15846 24005 26410 28806 39615 48010 72015 79230 91219 144030 182438 273657 456095 547314 667339 912190 1334678 1368285 2002017 2736570 3336695 4004034 6673390 10010085 12679441 20020170 25358882 38038323 63397205 76076646 126794410 190191615 380383230