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345450300 = 2235213101877
BaseRepresentation
bin10100100101110…
…010011100111100
3220002000200201120
4110211302130330
51201413402200
654140110540
711363164506
oct2445623474
9802020646
10345450300
11167aa7a18
1297835450
1356752380
1433c44d76
15204da9a0
hex1497273c

345450300 has 144 divisors (see below), whose sum is σ = 1088284512. Its totient is φ = 84096000.

The previous prime is 345450299. The next prime is 345450307. The reversal of 345450300 is 3054543.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345450307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 393462 + ... + 394338.

Almost surely, 2345450300 is an apocalyptic number.

345450300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345450300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544142256).

345450300 is an abundant number, since it is smaller than the sum of its proper divisors (742834212).

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

345450300 is a wasteful number, since it uses less digits than its factorization.

345450300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 345450300 is about 18586.2933367576. The cubic root of 345450300 is about 701.6629172006.

The spelling of 345450300 in words is "three hundred forty-five million, four hundred fifty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 101 130 150 156 195 202 260 300 303 325 390 404 505 606 650 780 877 975 1010 1212 1300 1313 1515 1754 1950 2020 2525 2626 2631 3030 3508 3900 3939 4385 5050 5252 5262 6060 6565 7575 7878 8770 10100 10524 11401 13130 13155 15150 15756 17540 19695 21925 22802 26260 26310 30300 32825 34203 39390 43850 45604 52620 57005 65650 65775 68406 78780 87700 88577 98475 114010 131300 131550 136812 171015 177154 196950 228020 263100 265731 285025 342030 354308 393900 442885 531462 570050 684060 855075 885770 1062924 1140100 1151501 1328655 1710150 1771540 2214425 2303002 2657310 3420300 3454503 4428850 4606004 5314620 5757505 6643275 6909006 8857700 11515010 13286550 13818012 17272515 23030020 26573100 28787525 34545030 57575050 69090060 86362575 115150100 172725150 345450300