Search a number
-
+
381647104 = 2879113167
BaseRepresentation
bin10110101111110…
…111100100000000
3222121010200101221
4112233313210000
51240200201404
6101512004424
712312642526
oct2657674400
9877120357
10381647104
11186480133
12a7990714
13610b6ab7
1438988316
152378a954
hex16bf7900

381647104 has 72 divisors (see below), whose sum is σ = 782933760. Its totient is φ = 185622528.

The previous prime is 381647051. The next prime is 381647111. The reversal of 381647104 is 401746183.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 381647104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2285229 + ... + 2285395.

It is an arithmetic number, because the mean of its divisors is an integer number (10874080).

Almost surely, 2381647104 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 381647104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391466880).

381647104 is an abundant number, since it is smaller than the sum of its proper divisors (401286656).

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

381647104 is a wasteful number, since it uses less digits than its factorization.

381647104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 381647104 is about 19535.7903346652. The cubic root of 381647104 is about 725.3606475200.

The spelling of 381647104 in words is "three hundred eighty-one million, six hundred forty-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 79 113 128 158 167 226 256 316 334 452 632 668 904 1264 1336 1808 2528 2672 3616 5056 5344 7232 8927 10112 10688 13193 14464 17854 18871 20224 21376 26386 28928 35708 37742 42752 52772 71416 75484 105544 142832 150968 211088 285664 301936 422176 571328 603872 844352 1142656 1207744 1490809 1688704 2285312 2415488 2981618 3377408 4830976 5963236 11926472 23852944 47705888 95411776 190823552 381647104