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384377013 = 32101422857
BaseRepresentation
bin10110111010010…
…010000010110101
3222210021101010200
4112322102002311
51241400031023
6102050311113
712345102456
oct2672220265
9883241120
10384377013
11187a75159
12a8888499
1361831527
143909912d
1523b29743
hex16e920b5

384377013 has 12 divisors (see below), whose sum is σ = 560709708. Its totient is φ = 253713600.

The previous prime is 384377003. The next prime is 384377023. The reversal of 384377013 is 310773483.

It is an interprime number because it is at equal distance from previous prime (384377003) and next prime (384377023).

It can be written as a sum of positive squares in 2 ways, for example, as 271656324 + 112720689 = 16482^2 + 10617^2 .

It is not a de Polignac number, because 384377013 - 24 = 384376997 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384377003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210520 + ... + 212337.

It is an arithmetic number, because the mean of its divisors is an integer number (46725809).

Almost surely, 2384377013 is an apocalyptic number.

It is an amenable number.

384377013 is a deficient number, since it is larger than the sum of its proper divisors (176332695).

384377013 is a wasteful number, since it uses less digits than its factorization.

384377013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422964 (or 422961 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 384377013 is about 19605.5352643074. The cubic root of 384377013 is about 727.0860336620.

The spelling of 384377013 in words is "three hundred eighty-four million, three hundred seventy-seven thousand, thirteen".

Divisors: 1 3 9 101 303 909 422857 1268571 3805713 42708557 128125671 384377013