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380565672 = 233173130089
BaseRepresentation
bin10110101011101…
…111100010101000
3222112002201221220
4112223233202220
51234411100142
6101432502040
712300516624
oct2653574250
9875081856
10380565672
11185901693
12a754a920
1360ac87b6
1438786184
15236252ec
hex16aef8a8

380565672 has 64 divisors (see below), whose sum is σ = 1039910400. Its totient is φ = 115537920.

The previous prime is 380565671. The next prime is 380565701. The reversal of 380565672 is 276565083.

It is a super-3 number, since 3×3805656723 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (380565671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2397 + ... + 27692.

It is an arithmetic number, because the mean of its divisors is an integer number (16248600).

Almost surely, 2380565672 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 380565672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519955200).

380565672 is an abundant number, since it is smaller than the sum of its proper divisors (659344728).

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

380565672 is a wasteful number, since it uses less digits than its factorization.

380565672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30146 (or 30142 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 380565672 is about 19508.0924746629. The cubic root of 380565672 is about 724.6748741162.

The spelling of 380565672 in words is "three hundred eighty million, five hundred sixty-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 124 136 186 204 248 372 408 527 744 1054 1581 2108 3162 4216 6324 12648 30089 60178 90267 120356 180534 240712 361068 511513 722136 932759 1023026 1534539 1865518 2046052 2798277 3069078 3731036 4092104 5596554 6138156 7462072 11193108 12276312 15856903 22386216 31713806 47570709 63427612 95141418 126855224 190282836 380565672