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290347344 = 24327241149
BaseRepresentation
bin10001010011100…
…101100101010000
3202020100011200100
4101103211211100
51043312103334
644451052400
710123624500
oct2123454520
9666304610
10290347344
11139991291
12812a1100
13481cb381
142a7bda00
151a753c99
hex114e5950

290347344 has 90 divisors (see below), whose sum is σ = 945256650. Its totient is φ = 82954368.

The previous prime is 290347339. The next prime is 290347397. The reversal of 290347344 is 443743092.

It can be written as a sum of positive squares in only one way, i.e., 192099600 + 98247744 = 13860^2 + 9912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 290347299 and 290347308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13519 + ... + 27630.

Almost surely, 2290347344 is an apocalyptic number.

290347344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

290347344 is an abundant number, since it is smaller than the sum of its proper divisors (654909306).

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

290347344 is a wasteful number, since it uses less digits than its factorization.

290347344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41177 (or 41161 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 290347344 is about 17039.5816850062. The cubic root of 290347344 is about 662.1747545081.

The spelling of 290347344 in words is "two hundred ninety million, three hundred forty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 41149 82298 123447 164596 246894 288043 329192 370341 493788 576086 658384 740682 864129 987576 1152172 1481364 1728258 1975152 2016301 2304344 2592387 2962728 3456516 4032602 4608688 5184774 5925456 6048903 6913032 8065204 10369548 12097806 13826064 16130408 18146709 20739096 24195612 32260816 36293418 41478192 48391224 72586836 96782448 145173672 290347344