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382316077 = 11213172292
BaseRepresentation
bin10110110010011…
…010111000101101
3222122101200001201
4112302122320231
51240333103302
6101534205501
712321430063
oct2662327055
9878350051
10382316077
11186897800
12a8053891
136128c440
1438ac0033
152386dc87
hex16c9ae2d

382316077 has 54 divisors (see below), whose sum is σ = 497893214. Its totient is φ = 291540480.

The previous prime is 382316057. The next prime is 382316093. The reversal of 382316077 is 770613283.

It can be written as a sum of positive squares in 9 ways, for example, as 26842761 + 355473316 = 5181^2 + 18854^2 .

It is not a de Polignac number, because 382316077 - 27 = 382315949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382316017) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 13183299 + ... + 13183327.

Almost surely, 2382316077 is an apocalyptic number.

It is an amenable number.

382316077 is a deficient number, since it is larger than the sum of its proper divisors (115577137).

382316077 is a wasteful number, since it uses less digits than its factorization.

382316077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 382316077 is about 19552.9045668412. The cubic root of 382316077 is about 725.7842180877.

It can be divided in two parts, 3823 and 16077, that added together give a triangular number (19900 = T199).

The spelling of 382316077 in words is "three hundred eighty-two million, three hundred sixteen thousand, seventy-seven".

Divisors: 1 11 13 17 29 121 143 187 221 289 319 377 493 841 1573 2057 2431 3179 3509 3757 4147 5423 6409 8381 9251 10933 14297 26741 34969 41327 45617 59653 70499 92191 101761 108953 120263 157267 185861 243049 454597 775489 1014101 1198483 1322893 1729937 2044471 2673539 3159637 13183313 22489181 29408929 34756007 382316077