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380601081 = 32729292
BaseRepresentation
bin10110101011111…
…000001011111001
3222112011112112100
4112223320023321
51234413213311
6101433334013
712301025100
oct2653701371
9875145470
10380601081
11185926253
12a7567309
1360b0b953
1438795037
1523630a56
hex16af82f9

380601081 has 27 divisors (see below), whose sum is σ = 640202511. Its totient is φ = 217252224.

The previous prime is 380601061. The next prime is 380601107. The reversal of 380601081 is 180106083.

The square root of 380601081 is 19509.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7338681 + 373262400 = 2709^2 + 19320^2 .

It is not a de Polignac number, because 380601081 - 27 = 380600953 is a prime.

It is a super-2 number, since 2×3806010812 = 289714365716737122, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (380601061) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 409225 + ... + 410153.

Almost surely, 2380601081 is an apocalyptic number.

380601081 is the 19509-th square number.

380601081 is the 9755-th centered octagonal number.

It is an amenable number.

380601081 is a deficient number, since it is larger than the sum of its proper divisors (259601430).

380601081 is an frugal number, since it uses more digits than its factorization.

380601081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The cubic root of 380601081 is about 724.6973487452.

The spelling of 380601081 in words is "three hundred eighty million, six hundred one thousand, eighty-one".

Divisors: 1 3 7 9 21 49 63 147 441 929 2787 6503 8361 19509 45521 58527 136563 409689 863041 2589123 6041287 7767369 18123861 42289009 54371583 126867027 380601081