Search a number
-
+
290443968 = 2634179313
BaseRepresentation
bin10001010011111…
…101001011000000
3202020112002020000
4101103331023000
51043323201333
644453120000
710124506263
oct2123751300
9666462200
10290443968
11139a47941
1281329000
1348233349
142a806cda
151a772713
hex114fd2c0

290443968 has 140 divisors (see below), whose sum is σ = 868542840. Its totient is φ = 95966208.

The previous prime is 290443957. The next prime is 290443981. The reversal of 290443968 is 869344092.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 927780 + ... + 928092.

Almost surely, 2290443968 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 290443968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434271420).

290443968 is an abundant number, since it is smaller than the sum of its proper divisors (578098872).

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

290443968 is a wasteful number, since it uses less digits than its factorization.

290443968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 290443968 is about 17042.4167300298. The cubic root of 290443968 is about 662.2482008803.

The spelling of 290443968 in words is "two hundred ninety million, four hundred forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 179 192 216 288 313 324 358 432 537 576 626 648 716 864 939 1074 1252 1296 1432 1611 1728 1878 2148 2504 2592 2817 2864 3222 3756 4296 4833 5008 5184 5634 5728 6444 7512 8451 8592 9666 10016 11268 11456 12888 14499 15024 16902 17184 19332 20032 22536 25353 25776 28998 30048 33804 34368 38664 45072 50706 51552 56027 57996 60096 67608 77328 90144 101412 103104 112054 115992 135216 154656 168081 180288 202824 224108 231984 270432 309312 336162 405648 448216 463968 504243 540864 672324 811296 896432 927936 1008486 1344648 1512729 1622592 1792864 2016972 2689296 3025458 3585728 4033944 4538187 5378592 6050916 8067888 9076374 10757184 12101832 16135776 18152748 24203664 32271552 36305496 48407328 72610992 96814656 145221984 290443968