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380336427 = 32172315389
BaseRepresentation
bin10110101010110…
…111100100101011
3222111200002111100
4112222313210223
51234331231202
6101423532443
712265543362
oct2652674453
9874602440
10380336427
11185765429
12a745a123
1360a48353
14387267d9
15235cc41c
hex16ab792b

380336427 has 72 divisors (see below), whose sum is σ = 620680320. Its totient is φ = 224040960.

The previous prime is 380336423. The next prime is 380336449. The reversal of 380336427 is 724633083.

380336427 is a `hidden beast` number, since 3 + 8 + 0 + 3 + 3 + 642 + 7 = 666.

It is not a de Polignac number, because 380336427 - 22 = 380336423 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 380336391 and 380336400.

It is not an unprimeable number, because it can be changed into a prime (380336423) 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 71 ways as a sum of consecutive naturals, for example, 4273399 + ... + 4273487.

It is an arithmetic number, because the mean of its divisors is an integer number (8620560).

Almost surely, 2380336427 is an apocalyptic number.

380336427 is a deficient number, since it is larger than the sum of its proper divisors (240343893).

380336427 is a wasteful number, since it uses less digits than its factorization.

380336427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 380336427 is about 19502.2159510144. The cubic root of 380336427 is about 724.5293351004.

The spelling of 380336427 in words is "three hundred eighty million, three hundred thirty-six thousand, four hundred twenty-seven".

Divisors: 1 3 9 17 31 51 53 89 93 153 159 267 279 289 477 527 801 867 901 1513 1581 1643 2601 2703 2759 4539 4717 4743 4929 8109 8277 8959 13617 14151 14787 15317 24831 25721 26877 27931 42453 45951 46903 77163 80189 80631 83793 137853 140709 146227 231489 240567 251379 422127 438681 474827 721701 797351 1316043 1363213 1424481 2392053 2485859 4089639 4273443 7176159 7457577 12268917 22372731 42259603 126778809 380336427