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290930916 = 223411035741
BaseRepresentation
bin10001010101110…
…100000011100100
3202021102211012010
4101111310003210
51043434242131
644511354220
710131605043
oct2125640344
9667384163
10290930916
1113a24a781
1281522970
1348373b93
142a8d255a
151a81bb46
hex115740e4

290930916 has 48 divisors (see below), whose sum is σ = 702269568. Its totient is φ = 93676800.

The previous prime is 290930903. The next prime is 290930917. The reversal of 290930916 is 619039092.

290930916 = T493 + T494 + ... + T1230.

It is a happy number.

290930916 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (290930917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47806 + ... + 53546.

It is an arithmetic number, because the mean of its divisors is an integer number (14630616).

Almost surely, 2290930916 is an apocalyptic number.

It is an amenable number.

290930916 is an abundant number, since it is smaller than the sum of its proper divisors (411338652).

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

290930916 is a wasteful number, since it uses less digits than its factorization.

290930916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5892 (or 5890 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 290930916 is about 17056.6971011389. The cubic root of 290930916 is about 662.6180948133.

The spelling of 290930916 in words is "two hundred ninety million, nine hundred thirty thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 12 41 82 103 123 164 206 246 309 412 492 618 1236 4223 5741 8446 11482 12669 16892 17223 22964 25338 34446 50676 68892 235381 470762 591323 706143 941524 1182646 1412286 1773969 2365292 2824572 3547938 7095876 24244243 48488486 72732729 96976972 145465458 290930916