[go: up one dir, main page]

Search a number
-
+
380917728 = 2534179821
BaseRepresentation
bin10110101101000…
…101011111100000
3222112202121220000
4112231011133200
51240003331403
6101444220000
712303514212
oct2655053740
9875677800
10380917728
11186022144
12a769a600
1360bbcb09
14388385b2
15236947a3
hex16b457e0

380917728 has 120 divisors (see below), whose sum is σ = 1127899080. Its totient is φ = 126109440.

The previous prime is 380917727. The next prime is 380917729. The reversal of 380917728 is 827719083.

It is an interprime number because it is at equal distance from previous prime (380917727) and next prime (380917729).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380917721) 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, 463558 + ... + 464378.

It is an arithmetic number, because the mean of its divisors is an integer number (9399159).

Almost surely, 2380917728 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 380917728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563949540).

380917728 is an abundant number, since it is smaller than the sum of its proper divisors (746981352).

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

380917728 is a wasteful number, since it uses less digits than its factorization.

380917728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 380917728 is about 19517.1137210398. The cubic root of 380917728 is about 724.8982674536.

The spelling of 380917728 in words is "three hundred eighty million, nine hundred seventeen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 179 216 288 324 358 432 537 648 716 821 864 1074 1296 1432 1611 1642 2148 2463 2592 2864 3222 3284 4296 4833 4926 5728 6444 6568 7389 8592 9666 9852 12888 13136 14499 14778 17184 19332 19704 22167 25776 26272 28998 29556 38664 39408 44334 51552 57996 59112 66501 77328 78816 88668 115992 118224 133002 146959 154656 177336 231984 236448 266004 293918 354672 440877 463968 532008 587836 709344 881754 1064016 1175672 1322631 1763508 2128032 2351344 2645262 3527016 3967893 4702688 5290524 7054032 7935786 10581048 11903679 14108064 15871572 21162096 23807358 31743144 42324192 47614716 63486288 95229432 126972576 190458864 380917728