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381690648 = 233241239541
BaseRepresentation
bin10110110000000…
…010001100011000
3222121012220010200
4112300002030120
51240203100043
6101512542200
712313213503
oct2660021430
9877186120
10381690648
111864aa919
12a79b1960
1361100871
143899a13a
15237987d3
hex16c02318

381690648 has 96 divisors (see below), whose sum is σ = 1065355200. Its totient is φ = 123379200.

The previous prime is 381690629. The next prime is 381690649. The reversal of 381690648 is 846096183.

It is a super-3 number, since 3×3816906483 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381690649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 705258 + ... + 705798.

It is an arithmetic number, because the mean of its divisors is an integer number (11097450).

Almost surely, 2381690648 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 381690648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532677600).

381690648 is an abundant number, since it is smaller than the sum of its proper divisors (683664552).

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

381690648 is a wasteful number, since it uses less digits than its factorization.

381690648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 381690648 is about 19536.9047702035. The cubic root of 381690648 is about 725.3882331286.

The spelling of 381690648 in words is "three hundred eighty-one million, six hundred ninety thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 239 246 328 369 478 492 541 717 738 956 984 1082 1434 1476 1623 1912 2151 2164 2868 2952 3246 4302 4328 4869 5736 6492 8604 9738 9799 12984 17208 19476 19598 22181 29397 38952 39196 44362 58794 66543 78392 88191 88724 117588 129299 133086 176382 177448 199629 235176 258598 266172 352764 387897 399258 517196 532344 705528 775794 798516 1034392 1163691 1551588 1597032 2327382 3103176 4654764 5301259 9309528 10602518 15903777 21205036 31807554 42410072 47711331 63615108 95422662 127230216 190845324 381690648