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290843136 = 29347013
BaseRepresentation
bin10001010101011…
…110101000000000
3202021021100210000
4101111132220000
51043423440021
644505440000
710131061113
oct2125365000
9667240700
10290843136
1113a19a831
12814a0000
1348342c3c
142a8ac57a
151a800b26
hex1155ea00

290843136 has 100 divisors (see below), whose sum is σ = 868213962. Its totient is φ = 96933888.

The previous prime is 290843131. The next prime is 290843141. The reversal of 290843136 is 631348092.

It is an interprime number because it is at equal distance from previous prime (290843131) and next prime (290843141).

It can be written as a sum of positive squares in only one way, i.e., 203233536 + 87609600 = 14256^2 + 9360^2 .

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 290843136.

It is not an unprimeable number, because it can be changed into a prime (290843131) 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 9 ways as a sum of consecutive naturals, for example, 37966 + ... + 44978.

Almost surely, 2290843136 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 290843136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434106981).

290843136 is an abundant number, since it is smaller than the sum of its proper divisors (577370826).

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

290843136 is an frugal number, since it uses more digits than its factorization.

290843136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7043 (or 7018 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 290843136 is about 17054.1237241906. The cubic root of 290843136 is about 662.5514461532.

The spelling of 290843136 in words is "two hundred ninety million, eight hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 7013 10368 13824 14026 20736 21039 28052 41472 42078 56104 63117 84156 112208 126234 168312 189351 224416 252468 336624 378702 448832 504936 568053 673248 757404 897664 1009872 1136106 1346496 1514808 1795328 2019744 2272212 2692992 3029616 3590656 4039488 4544424 5385984 6059232 8078976 9088848 10771968 12118464 16157952 18177696 24236928 32315904 36355392 48473856 72710784 96947712 145421568 290843136