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380229136 = 24731971129
BaseRepresentation
bin10110101010011…
…101011000010000
3222111110122022121
4112222131120100
51234314313021
6101421344024
712264615520
oct2652353020
9874418277
10380229136
111856a1861
12a7408014
1360a0b571
14386d9680
15235aa741
hex16a9d610

380229136 has 80 divisors (see below), whose sum is σ = 878832640. Its totient is φ = 155934720.

The previous prime is 380229119. The next prime is 380229139. The reversal of 380229136 is 631922083.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (380229139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336220 + ... + 337348.

It is an arithmetic number, because the mean of its divisors is an integer number (10985408).

Almost surely, 2380229136 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 380229136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439416320).

380229136 is an abundant number, since it is smaller than the sum of its proper divisors (498603504).

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

380229136 is a wasteful number, since it uses less digits than its factorization.

380229136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 380229136 is about 19499.4650183024. The cubic root of 380229136 is about 724.4611999950.

The spelling of 380229136 in words is "three hundred eighty million, two hundred twenty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 97 112 124 194 217 248 388 434 496 679 776 868 1129 1358 1552 1736 2258 2716 3007 3472 4516 5432 6014 7903 9032 10864 12028 15806 18064 21049 24056 31612 34999 42098 48112 63224 69998 84196 109513 126448 139996 168392 219026 244993 279992 336784 438052 489986 559984 766591 876104 979972 1533182 1752208 1959944 3066364 3394903 3919888 6132728 6789806 12265456 13579612 23764321 27159224 47528642 54318448 95057284 190114568 380229136