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381321486 = 233713731063
BaseRepresentation
bin10110101110101…
…000000100001110
3222120112010202000
4112232220010032
51240104241421
6101501013130
712310115310
oct2656500416
9876463660
10381321486
11186278527
12a78541a6
1361001820
14389017b0
1523724226
hex16ba810e

381321486 has 128 divisors (see below), whose sum is σ = 1058211840. Its totient is φ = 99097344.

The previous prime is 381321467. The next prime is 381321491. The reversal of 381321486 is 684123183.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 381321486.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 358191 + ... + 359253.

It is an arithmetic number, because the mean of its divisors is an integer number (8267280).

Almost surely, 2381321486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381321486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529105920).

381321486 is an abundant number, since it is smaller than the sum of its proper divisors (676890354).

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

381321486 is a wasteful number, since it uses less digits than its factorization.

381321486 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1161 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 381321486 is about 19527.4546728446. The cubic root of 381321486 is about 725.1542983521.

The spelling of 381321486 in words is "three hundred eighty-one million, three hundred twenty-one thousand, four hundred eighty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 73 78 91 117 126 146 182 189 219 234 273 351 378 438 511 546 657 702 819 949 1022 1063 1314 1533 1638 1898 1971 2126 2457 2847 3066 3189 3942 4599 4914 5694 6378 6643 7441 8541 9198 9567 13286 13797 13819 14882 17082 19134 19929 22323 25623 27594 27638 28701 39858 41457 44646 51246 57402 59787 66969 77599 82914 96733 119574 124371 133938 155198 179361 193466 200907 232797 248742 290199 358722 373113 401814 465594 543193 580398 698391 746226 870597 1008787 1086386 1396782 1629579 1741194 2017574 2095173 2611791 3026361 3259158 4190346 4888737 5223582 6052722 7061509 9079083 9777474 14123018 14666211 18158166 21184527 27237249 29332422 42369054 54474498 63553581 127107162 190660743 381321486