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389219040 = 25335761211
BaseRepresentation
bin10111001100110…
…000001011100000
31000010101101011000
4113030300023200
51244120002130
6102342152000
712434210250
oct2714601340
91003341130
10389219040
1118a782031
12aa422600
1362838432
1439999960
1524284260
hex173302e0

389219040 has 384 divisors, whose sum is σ = 1589898240. Its totient is φ = 87091200.

The previous prime is 389219011. The next prime is 389219069. The reversal of 389219040 is 40912983.

It is an interprime number because it is at equal distance from previous prime (389219011) and next prime (389219069).

It is a super-2 number, since 2×3892190402 = 302982922197043200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 389218986 and 389219004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1844535 + ... + 1844745.

It is an arithmetic number, because the mean of its divisors is an integer number (4140360).

Almost surely, 2389219040 is an apocalyptic number.

389219040 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 389219040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794949120).

389219040 is an abundant number, since it is smaller than the sum of its proper divisors (1200679200).

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

389219040 is a wasteful number, since it uses less digits than its factorization.

389219040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 389219040 is about 19728.6350262759. The cubic root of 389219040 is about 730.1263558097.

It can be divided in two parts, 38921 and 9040, that added together give a square (47961 = 2192).

The spelling of 389219040 in words is "three hundred eighty-nine million, two hundred nineteen thousand, forty".