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382239000 = 23355311213
BaseRepresentation
bin10110110010001…
…000000100011000
3222122020202100000
4112302020010120
51240323122000
6101532413000
712320656263
oct2662100430
9878222300
10382239000
11186844900
12a8017160
1361263330
1438a9dcda
1523856000
hex16c88118

382239000 has 576 divisors, whose sum is σ = 1585977120. Its totient is φ = 85536000.

The previous prime is 382238981. The next prime is 382239007. The reversal of 382239000 is 932283.

It is a super-2 number, since 2×3822390002 = 292213306242000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382239007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29402994 + ... + 29403006.

Almost surely, 2382239000 is an apocalyptic number.

382239000 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 382239000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792988560).

382239000 is an abundant number, since it is smaller than the sum of its proper divisors (1203738120).

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

382239000 is a wasteful number, since it uses less digits than its factorization.

382239000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 382239000 is about 19550.9334815502. The cubic root of 382239000 is about 725.7354407947.

The spelling of 382239000 in words is "three hundred eighty-two million, two hundred thirty-nine thousand".