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382234944 = 263713131167
BaseRepresentation
bin10110110010000…
…111000101000000
3222122020112202210
4112302013011000
51240323004234
6101532342120
712320641410
oct2662070500
9878215683
10382234944
11186841853
12a8014940
1361261530
1438a9c640
1523854be9
hex16c87140

382234944 has 224 divisors, whose sum is σ = 1261725696. Its totient is φ = 99440640.

The previous prime is 382234939. The next prime is 382234949. The reversal of 382234944 is 449432283.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (382234939) and next prime (382234949).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×3822349442 = 292207104829366272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382234949) 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 31 ways as a sum of consecutive naturals, for example, 2288749 + ... + 2288915.

It is an arithmetic number, because the mean of its divisors is an integer number (5632704).

Almost surely, 2382234944 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 382234944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630862848).

382234944 is an abundant number, since it is smaller than the sum of its proper divisors (879490752).

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

382234944 is a wasteful number, since it uses less digits than its factorization.

382234944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 323 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 382234944 is about 19550.8297522126. The cubic root of 382234944 is about 725.7328738201.

The spelling of 382234944 in words is "three hundred eighty-two million, two hundred thirty-four thousand, nine hundred forty-four".