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345103360 = 210579629
BaseRepresentation
bin10100100100011…
…101110000000000
3220001101001210221
4110210131300000
51201321301420
654124432424
711360221150
oct2444356000
9801331727
10345103360
11167890298
12976a8714
1356660494
1433b94760
152046ccaa
hex1491dc00

345103360 has 88 divisors (see below), whose sum is σ = 946205280. Its totient is φ = 118308864.

The previous prime is 345103357. The next prime is 345103373. The reversal of 345103360 is 63301543.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31026 + ... + 40654.

Almost surely, 2345103360 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 345103360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473102640).

345103360 is an abundant number, since it is smaller than the sum of its proper divisors (601101920).

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

345103360 is an equidigital number, since it uses as much as digits as its factorization.

345103360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9661 (or 9643 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 345103360 is about 18576.9577703132. The cubic root of 345103360 is about 701.4279422777.

The spelling of 345103360 in words is "three hundred forty-five million, one hundred three thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2240 2560 3584 4480 5120 7168 8960 9629 17920 19258 35840 38516 48145 67403 77032 96290 134806 154064 192580 269612 308128 337015 385160 539224 616256 674030 770320 1078448 1232512 1348060 1540640 2156896 2465024 2696120 3081280 4313792 4930048 5392240 6162560 8627584 9860096 10784480 12325120 17255168 21568960 24650240 34510336 43137920 49300480 69020672 86275840 172551680 345103360