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290331393 = 31127611051
BaseRepresentation
bin10001010011100…
…001101100000001
3202020022100210120
4101103201230001
51043311101033
644450450453
710123530132
oct2123415401
9666270716
10290331393
11139980300
1281293a29
13481c4031
142a7b7c89
151a74e1b3
hex114e1b01

290331393 has 24 divisors (see below), whose sum is σ = 426463968. Its totient is φ = 175560000.

The previous prime is 290331367. The next prime is 290331407. The reversal of 290331393 is 393133092.

It is a happy number.

It is not a de Polignac number, because 290331393 - 28 = 290331137 is a prime.

It is a super-2 number, since 2×2903313932 = 168584635522640898, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (290331793) 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 23 ways as a sum of consecutive naturals, for example, 275718 + ... + 276768.

It is an arithmetic number, because the mean of its divisors is an integer number (17769332).

Almost surely, 2290331393 is an apocalyptic number.

It is an amenable number.

290331393 is a deficient number, since it is larger than the sum of its proper divisors (136132575).

290331393 is a wasteful number, since it uses less digits than its factorization.

290331393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 33.

The square root of 290331393 is about 17039.1136213126. The cubic root of 290331393 is about 662.1626281783.

The spelling of 290331393 in words is "two hundred ninety million, three hundred thirty-one thousand, three hundred ninety-three".

Divisors: 1 3 11 33 121 363 761 1051 2283 3153 8371 11561 25113 34683 92081 127171 276243 381513 799811 2399433 8797921 26393763 96777131 290331393