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290928348 = 22352910321
BaseRepresentation
bin10001010101110…
…011011011011100
3202021102200200000
4101111303123130
51043434201343
644511334300
710131564414
oct2125633334
9667380600
10290928348
1113a248857
1281521390
1348372969
142a8d1644
151a81aed3
hex115736dc

290928348 has 72 divisors (see below), whose sum is σ = 789013680. Its totient is φ = 93623040.

The previous prime is 290928347. The next prime is 290928367. The reversal of 290928348 is 843829092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290928343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23028 + ... + 33348.

Almost surely, 2290928348 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 290928348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394506840).

290928348 is an abundant number, since it is smaller than the sum of its proper divisors (498085332).

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

290928348 is a wasteful number, since it uses less digits than its factorization.

290928348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10369 (or 10355 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 290928348 is about 17056.6218226236. The cubic root of 290928348 is about 662.6161452001.

The spelling of 290928348 in words is "two hundred ninety million, nine hundred twenty-eight thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 243 261 324 348 486 522 783 972 1044 1566 2349 3132 4698 7047 9396 10321 14094 20642 28188 30963 41284 61926 92889 123852 185778 278667 299309 371556 557334 598618 836001 897927 1114668 1197236 1672002 1795854 2508003 2693781 3344004 3591708 5016006 5387562 8081343 10032012 10775124 16162686 24244029 32325372 48488058 72732087 96976116 145464174 290928348