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290330832 = 243112967283
BaseRepresentation
bin10001010011100…
…001100011010000
3202020022100000210
4101103201203100
51043311041312
644450444120
710123525401
oct2123414320
9666270023
10290330832
1113997a940
1281293640
13481c39bc
142a7b79a8
151a74de3c
hex114e18d0

290330832 has 160 divisors (see below), whose sum is σ = 862087680. Its totient is φ = 83381760.

The previous prime is 290330819. The next prime is 290330867. The reversal of 290330832 is 238033092.

It is a self number, because there is not a number n which added to its sum of digits gives 290330832.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1025763 + ... + 1026045.

It is an arithmetic number, because the mean of its divisors is an integer number (5388048).

Almost surely, 2290330832 is an apocalyptic number.

290330832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290330832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431043840).

290330832 is an abundant number, since it is smaller than the sum of its proper divisors (571756848).

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

290330832 is a wasteful number, since it uses less digits than its factorization.

290330832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 290330832 is about 17039.0971591807. The cubic root of 290330832 is about 662.1622016847.

The spelling of 290330832 in words is "two hundred ninety million, three hundred thirty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 67 87 88 116 132 134 174 176 201 232 264 268 283 319 348 402 464 528 536 566 638 696 737 804 849 957 1072 1132 1276 1392 1474 1608 1698 1914 1943 2211 2264 2552 2948 3113 3216 3396 3828 3886 4422 4528 5104 5829 5896 6226 6792 7656 7772 8207 8844 9339 11658 11792 12452 13584 15312 15544 16414 17688 18678 18961 21373 23316 24621 24904 31088 32828 35376 37356 37922 42746 46632 49242 49808 56883 64119 65656 74712 75844 85492 90277 93264 98484 113766 128238 131312 149424 151688 170984 180554 196968 208571 227532 256476 270831 303376 341968 361108 393936 417142 455064 512952 541662 549869 625713 722216 834284 910128 1025904 1083324 1099738 1251426 1444432 1649607 1668568 2166648 2199476 2502852 3299214 3337136 4333296 4398952 5005704 6048559 6598428 8797904 10011408 12097118 13196856 18145677 24194236 26393712 36291354 48388472 72582708 96776944 145165416 290330832