Search a number
-
+
389100348 = 22357135383
BaseRepresentation
bin10111001100010…
…011001100111100
31000010011100100000
4113030103030330
51244102202343
6102335434300
712433204230
oct2714231474
91003140300
10389100348
1118a70093a
12aa385990
13627c63c0
14399685c0
152425ded3
hex1731333c

389100348 has 288 divisors, whose sum is σ = 1294465536. Its totient is φ = 99470592.

The previous prime is 389100343. The next prime is 389100353. The reversal of 389100348 is 843001983.

It is an interprime number because it is at equal distance from previous prime (389100343) and next prime (389100353).

It is a super-2 number, since 2×3891003482 = 302798161627442208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389100343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4687915 + ... + 4687997.

It is an arithmetic number, because the mean of its divisors is an integer number (4494672).

Almost surely, 2389100348 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 389100348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647232768).

389100348 is an abundant number, since it is smaller than the sum of its proper divisors (905365188).

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

389100348 is a wasteful number, since it uses less digits than its factorization.

389100348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 389100348 is about 19725.6266820601. The cubic root of 389100348 is about 730.0521311367.

The spelling of 389100348 in words is "three hundred eighty-nine million, one hundred thousand, three hundred forty-eight".