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345052500 = 22354133539
BaseRepresentation
bin10100100100010…
…001010101010100
3220001021111001020
4110210101111110
51201313140000
654123401140
711356616652
oct2444212524
9801244036
10345052500
11167856061
12976831b0
13566432a0
1433b7ddd2
152045cba0
hex14911554

345052500 has 120 divisors (see below), whose sum is σ = 1083778080. Its totient is φ = 84912000.

The previous prime is 345052493. The next prime is 345052501. The reversal of 345052500 is 5250543.

It is a super-2 number, since 2×3450525002 = 238122455512500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345052501) 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 39 ways as a sum of consecutive naturals, for example, 95731 + ... + 99269.

It is an arithmetic number, because the mean of its divisors is an integer number (9031484).

Almost surely, 2345052500 is an apocalyptic number.

345052500 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 345052500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541889040).

345052500 is an abundant number, since it is smaller than the sum of its proper divisors (738725580).

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

345052500 is a wasteful number, since it uses less digits than its factorization.

345052500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3579 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 345052500 is about 18575.5888197387. The cubic root of 345052500 is about 701.3934826713.

The spelling of 345052500 in words is "three hundred forty-five million, fifty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 125 130 150 156 195 250 260 300 325 375 390 500 625 650 750 780 975 1250 1300 1500 1625 1875 1950 2500 3250 3539 3750 3900 4875 6500 7078 7500 8125 9750 10617 14156 16250 17695 19500 21234 24375 32500 35390 42468 46007 48750 53085 70780 88475 92014 97500 106170 138021 176950 184028 212340 230035 265425 276042 353900 442375 460070 530850 552084 690105 884750 920140 1061700 1150175 1327125 1380210 1769500 2211875 2300350 2654250 2760420 3450525 4423750 4600700 5308500 5750875 6635625 6901050 8847500 11501750 13271250 13802100 17252625 23003500 26542500 28754375 34505250 57508750 69010500 86263125 115017500 172526250 345052500