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345424500 = 2235532843
BaseRepresentation
bin10100100101101…
…100001001110100
3220001222101100000
4110211230021310
51201412041000
654135351300
711363026341
oct2445541164
9801871300
10345424500
11167a8a5a3
1297822530
13567436c5
1433c397c8
15204d3000
hex1496c274

345424500 has 144 divisors (see below), whose sum is σ = 1130455872. Its totient is φ = 92080800.

The previous prime is 345424493. The next prime is 345424507. The reversal of 345424500 is 5424543.

It is an interprime number because it is at equal distance from previous prime (345424493) and next prime (345424507).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345424507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120079 + ... + 122921.

It is an arithmetic number, because the mean of its divisors is an integer number (7850388).

Almost surely, 2345424500 is an apocalyptic number.

345424500 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 345424500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565227936).

345424500 is an abundant number, since it is smaller than the sum of its proper divisors (785031372).

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

345424500 is a wasteful number, since it uses less digits than its factorization.

345424500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 345424500 is about 18585.5992639463. The cubic root of 345424500 is about 701.6454488374.

The spelling of 345424500 in words is "three hundred forty-five million, four hundred twenty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 125 135 150 162 180 225 243 250 270 300 324 375 405 450 486 500 540 675 750 810 900 972 1125 1215 1350 1500 1620 2025 2250 2430 2700 2843 3375 4050 4500 4860 5686 6075 6750 8100 8529 10125 11372 12150 13500 14215 17058 20250 24300 25587 28430 30375 34116 40500 42645 51174 56860 60750 71075 76761 85290 102348 121500 127935 142150 153522 170580 213225 230283 255870 284300 307044 355375 383805 426450 460566 511740 639675 690849 710750 767610 852900 921132 1066125 1151415 1279350 1381698 1421500 1535220 1919025 2132250 2302830 2558700 2763396 3198375 3454245 3838050 4264500 4605660 5757075 6396750 6908490 7676100 9595125 11514150 12793500 13816980 17271225 19190250 23028300 28785375 34542450 38380500 57570750 69084900 86356125 115141500 172712250 345424500