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381232000 = 275323827
BaseRepresentation
bin10110101110010…
…010001110000000
3222120100120222201
4112232102032000
51240043411000
6101455042544
712306263362
oct2656221600
9876316881
10381232000
11186217276
12a7810454
1360c9cb86
14388bad32
152370796a
hex16b92380

381232000 has 64 divisors (see below), whose sum is σ = 947877840. Its totient is φ = 152486400.

The previous prime is 381231997. The next prime is 381232003. The reversal of 381232000 is 232183.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (381231997) and next prime (381232003).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381232003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4087 + ... + 27913.

Almost surely, 2381232000 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 381232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473938920).

381232000 is an abundant number, since it is smaller than the sum of its proper divisors (566645840).

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

381232000 is an equidigital number, since it uses as much as digits as its factorization.

381232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23856 (or 23834 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 381232000 is about 19525.1632515582. The cubic root of 381232000 is about 725.0975691121.

Adding to 381232000 its reverse (232183), we get a palindrome (381464183).

The spelling of 381232000 in words is "three hundred eighty-one million, two hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 23827 47654 95308 119135 190616 238270 381232 476540 595675 762464 953080 1191350 1524928 1906160 2382700 2978375 3049856 3812320 4765400 5956750 7624640 9530800 11913500 15249280 19061600 23827000 38123200 47654000 76246400 95308000 190616000 381232000