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389168640 = 29325719127
BaseRepresentation
bin10111001100100…
…011111000000000
31000010021211000100
4113030203320000
51244111344030
6102341122400
712433610310
oct2714437000
91003254010
10389168640
1118a748183
12aa3b9400
136281b503
1439985440
1524274360
hex17323e00

389168640 has 480 divisors, whose sum is σ = 1634181120. Its totient is φ = 83607552.

The previous prime is 389168587. The next prime is 389168651. The reversal of 389168640 is 46861983.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3064257 + ... + 3064383.

It is an arithmetic number, because the mean of its divisors is an integer number (3404544).

Almost surely, 2389168640 is an apocalyptic number.

389168640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 389168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817090560).

389168640 is an abundant number, since it is smaller than the sum of its proper divisors (1245012480).

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

389168640 is a wasteful number, since it uses less digits than its factorization.

389168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 389168640 is about 19727.3576537761. The cubic root of 389168640 is about 730.0948397454.

The spelling of 389168640 in words is "three hundred eighty-nine million, one hundred sixty-eight thousand, six hundred forty".