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381371328 = 2634135659
BaseRepresentation
bin10110101110110…
…100001111000000
3222120121200010000
4112232310033000
51240112340303
6101502040000
712310413522
oct2656641700
9876550100
10381371328
11186301a18
12a7879000
136101b410
1438915a12
1523733da3
hex16bb43c0

381371328 has 140 divisors (see below), whose sum is σ = 1217681080. Its totient is φ = 117324288.

The previous prime is 381371327. The next prime is 381371351. The reversal of 381371328 is 823173183.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 381371292 and 381371301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381371327) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64563 + ... + 70221.

It is an arithmetic number, because the mean of its divisors is an integer number (8697722).

Almost surely, 2381371328 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 381371328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608840540).

381371328 is an abundant number, since it is smaller than the sum of its proper divisors (836309752).

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

381371328 is a wasteful number, since it uses less digits than its factorization.

381371328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5696 (or 5677 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 381371328 is about 19528.7308343374. The cubic root of 381371328 is about 725.1858916115.

The spelling of 381371328 in words is "three hundred eighty-one million, three hundred seventy-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1728 1872 2106 2496 2592 2808 3744 4212 5184 5616 5659 7488 8424 11232 11318 16848 16977 22464 22636 33696 33954 45272 50931 67392 67908 73567 90544 101862 135816 147134 152793 181088 203724 220701 271632 294268 305586 362176 407448 441402 458379 543264 588536 611172 662103 814896 882804 916758 1086528 1177072 1222344 1324206 1629792 1765608 1833516 1986309 2354144 2444688 2648412 3259584 3531216 3667032 3972618 4708288 4889376 5296824 5958927 7062432 7334064 7945236 9778752 10593648 11917854 14124864 14668128 15890472 21187296 23835708 29336256 31780944 42374592 47671416 63561888 95342832 127123776 190685664 381371328