Search a number
-
+
379722024 = 233211471012
BaseRepresentation
bin10110101000100…
…001100100101000
3222110111212200200
4112220201210220
51234202101044
6101402432200
712260404203
oct2650414450
9873455620
10379722024
11185385860
12a7202660
13608917b6
143860693a
152350a369
hex16a21928

379722024 has 144 divisors (see below), whose sum is σ = 1157232960. Its totient is φ = 111504000.

The previous prime is 379722023. The next prime is 379722041. The reversal of 379722024 is 420227973.

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

It is a self number, because there is not a number n which added to its sum of digits gives 379722024.

It is not an unprimeable number, because it can be changed into a prime (379722023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3759574 + ... + 3759674.

It is an arithmetic number, because the mean of its divisors is an integer number (8036340).

Almost surely, 2379722024 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 379722024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578616480).

379722024 is an abundant number, since it is smaller than the sum of its proper divisors (777510936).

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

379722024 is a wasteful number, since it uses less digits than its factorization.

379722024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 379722024 is about 19486.4574512660. The cubic root of 379722024 is about 724.1389851507.

Adding to 379722024 its reverse (420227973), we get a palindrome (799949997).

The spelling of 379722024 in words is "three hundred seventy-nine million, seven hundred twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 47 66 72 88 94 99 101 132 141 188 198 202 264 282 303 376 396 404 423 517 564 606 792 808 846 909 1034 1111 1128 1212 1551 1692 1818 2068 2222 2424 3102 3333 3384 3636 4136 4444 4653 4747 6204 6666 7272 8888 9306 9494 9999 10201 12408 13332 14241 18612 18988 19998 20402 26664 28482 30603 37224 37976 39996 40804 42723 52217 56964 61206 79992 81608 85446 91809 104434 112211 113928 122412 156651 170892 183618 208868 224422 244824 313302 336633 341784 367236 417736 448844 469953 479447 626604 673266 734472 897688 939906 958894 1009899 1253208 1346532 1438341 1879812 1917788 2019798 2693064 2876682 3759624 3835576 4039596 4315023 5273917 5753364 8079192 8630046 10547834 11506728 15821751 17260092 21095668 31643502 34520184 42191336 47465253 63287004 94930506 126574008 189861012 379722024