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380311272 = 233211631761
BaseRepresentation
bin10110101010110…
…001011011101000
3222111121210222200
4112222301123220
51234324430042
6101423220200
712265410135
oct2652613350
9874553880
10380311272
11185748540
12a7447660
1360a39a73
143871b58c
15235c4c4c
hex16ab16e8

380311272 has 96 divisors (see below), whose sum is σ = 1126906560. Its totient is φ = 114912000.

The previous prime is 380311231. The next prime is 380311273. The reversal of 380311272 is 272113083.

380311272 is a `hidden beast` number, since 3 + 80 + 311 + 272 = 666.

It is a super-2 number, since 2×3803112722 = 289273327220515968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (380311273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499372 + ... + 500132.

It is an arithmetic number, because the mean of its divisors is an integer number (11738610).

Almost surely, 2380311272 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 380311272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563453280).

380311272 is an abundant number, since it is smaller than the sum of its proper divisors (746595288).

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

380311272 is a wasteful number, since it uses less digits than its factorization.

380311272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 380311272 is about 19501.5710136389. The cubic root of 380311272 is about 724.5133615780.

The spelling of 380311272 in words is "three hundred eighty million, three hundred eleven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 631 761 792 1262 1522 1893 2283 2524 3044 3786 4566 5048 5679 6088 6849 6941 7572 8371 9132 11358 13698 13882 15144 16742 18264 20823 22716 25113 27396 27764 33484 41646 45432 50226 54792 55528 62469 66968 75339 83292 100452 124938 150678 166584 200904 249876 301356 480191 499752 602712 960382 1440573 1920764 2881146 3841528 4321719 5282101 5762292 8643438 10564202 11524584 15846303 17286876 21128404 31692606 34573752 42256808 47538909 63385212 95077818 126770424 190155636 380311272