Search a number
-
+
381173440 = 2651971883
BaseRepresentation
bin10110101110000…
…011111011000000
3222120020121122211
4112232003323000
51240040022230
6101453511504
712305630554
oct2656037300
9876217584
10381173440
1118618727a
12a77a2594
1360c7c31b
14388a3864
15236e542a
hex16b83ec0

381173440 has 112 divisors (see below), whose sum is σ = 969995520. Its totient is φ = 142248960.

The previous prime is 381173413. The next prime is 381173449. The reversal of 381173440 is 44371183.

It is a super-2 number, since 2×3811734402 = 290586382722867200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (381173449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 431239 + ... + 432121.

Almost surely, 2381173440 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 381173440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484997760).

381173440 is an abundant number, since it is smaller than the sum of its proper divisors (588822080).

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

381173440 is a wasteful number, since it uses less digits than its factorization.

381173440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 381173440 is about 19523.6635906277. The cubic root of 381173440 is about 725.0604404626.

The spelling of 381173440 in words is "three hundred eighty-one million, one hundred seventy-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 71 76 80 95 142 152 160 190 284 304 320 355 380 568 608 710 760 883 1136 1216 1349 1420 1520 1766 2272 2698 2840 3040 3532 4415 4544 5396 5680 6080 6745 7064 8830 10792 11360 13490 14128 16777 17660 21584 22720 26980 28256 33554 35320 43168 53960 56512 62693 67108 70640 83885 86336 107920 125386 134216 141280 167770 215840 250772 268432 282560 313465 335540 431680 501544 536864 626930 671080 1003088 1073728 1191167 1253860 1342160 2006176 2382334 2507720 2684320 4012352 4764668 5015440 5368640 5955835 9529336 10030880 11911670 19058672 20061760 23823340 38117344 47646680 76234688 95293360 190586720 381173440