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386417364 = 223195213253
BaseRepresentation
bin10111000010000…
…100001011010100
3222221010000222020
4113002010023110
51242410323424
6102202133140
712401331144
oct2702041324
9887100866
10386417364
111891390a3
12a94b11b0
1362097138
143946a924
1523dce079
hex170842d4

386417364 has 48 divisors (see below), whose sum is σ = 951209280. Its totient is φ = 121754880.

The previous prime is 386417363. The next prime is 386417377. The reversal of 386417364 is 463714683.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386417363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117162 + ... + 120414.

It is an arithmetic number, because the mean of its divisors is an integer number (19816860).

Almost surely, 2386417364 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 386417364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475604640).

386417364 is an abundant number, since it is smaller than the sum of its proper divisors (564791916).

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

386417364 is a wasteful number, since it uses less digits than its factorization.

386417364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800 (or 3798 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 386417364 is about 19657.5014689049. The cubic root of 386417364 is about 728.3702706258.

The spelling of 386417364 in words is "three hundred eighty-six million, four hundred seventeen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 521 1042 1563 2084 3126 3253 6252 6506 9759 9899 13012 19518 19798 29697 39036 39596 59394 61807 118788 123614 185421 247228 370842 741684 1694813 3389626 5084439 6779252 10168878 20337756 32201447 64402894 96604341 128805788 193208682 386417364