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381988608 = 283432269
BaseRepresentation
bin10110110001001…
…010111100000000
3222121210000212020
4112301022330000
51240242113413
6101523201440
712315564261
oct2661127400
9877700766
10381988608
11186693771
12a7b16280
13611a6381
1438a36968
1523806c23
hex16c4af00

381988608 has 108 divisors (see below), whose sum is σ = 1044708840. Its totient is φ = 123906048.

The previous prime is 381988601. The next prime is 381988613. The reversal of 381988608 is 806889183.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381988601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1419898 + ... + 1420166.

It is an arithmetic number, because the mean of its divisors is an integer number (9673230).

Almost surely, 2381988608 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 381988608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522354420).

381988608 is an abundant number, since it is smaller than the sum of its proper divisors (662720232).

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

381988608 is an equidigital number, since it uses as much as digits as its factorization.

381988608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The square root of 381988608 is about 19544.5288508063. The cubic root of 381988608 is about 725.5769378317.

The spelling of 381988608 in words is "three hundred eighty-one million, nine hundred eighty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 269 344 384 516 538 688 768 807 1032 1076 1376 1614 1849 2064 2152 2752 3228 3698 4128 4304 5504 5547 6456 7396 8256 8608 11008 11094 11567 12912 14792 16512 17216 22188 23134 25824 29584 33024 34432 34701 44376 46268 51648 59168 68864 69402 88752 92536 103296 118336 138804 177504 185072 206592 236672 277608 355008 370144 473344 497381 555216 710016 740288 994762 1110432 1420032 1480576 1492143 1989524 2220864 2961152 2984286 3979048 4441728 5968572 7958096 8883456 11937144 15916192 23874288 31832384 47748576 63664768 95497152 127329536 190994304 381988608