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380312478 = 232713792939
BaseRepresentation
bin10110101010110…
…001101110011110
3222111121212122100
4112222301232132
51234324444403
6101423225530
712265413510
oct2652615636
9874555570
10380312478
11185749437
12a74482a6
1360a3a490
143871bbb0
15235c52a3
hex16ab1b9e

380312478 has 96 divisors (see below), whose sum is σ = 1027353600. Its totient is φ = 98998848.

The previous prime is 380312453. The next prime is 380312497. The reversal of 380312478 is 874213083.

380312478 is a `hidden beast` number, since 380 + 31 + 247 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127933 + ... + 130871.

It is an arithmetic number, because the mean of its divisors is an integer number (10701600).

Almost surely, 2380312478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380312478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513676800).

380312478 is an abundant number, since it is smaller than the sum of its proper divisors (647041122).

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

380312478 is a wasteful number, since it uses less digits than its factorization.

380312478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 380312478 is about 19501.6019342002. The cubic root of 380312478 is about 724.5141274088.

The spelling of 380312478 in words is "three hundred eighty million, three hundred twelve thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 79 91 117 126 158 182 234 237 273 474 546 553 711 819 1027 1106 1422 1638 1659 2054 2939 3081 3318 4977 5878 6162 7189 8817 9243 9954 14378 17634 18486 20573 21567 26451 38207 41146 43134 52902 61719 64701 76414 114621 123438 129402 185157 229242 232181 267449 343863 370314 464362 534898 687726 696543 802347 1393086 1604694 1625267 2089629 2407041 3018353 3250534 4179258 4814082 4875801 6036706 9055059 9751602 14627403 18110118 21128471 27165177 29254806 42256942 54330354 63385413 126770826 190156239 380312478