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345353340 = 223510156989
BaseRepresentation
bin10100100101011…
…010110001111100
3220001211202201110
4110211122301330
51201402301330
654134042020
711362312023
oct2445326174
9801752643
10345353340
11167a41092
12977a9310
135671a1b7
1433c1b8ba
15204bbdb0
hex1495ac7c

345353340 has 48 divisors (see below), whose sum is σ = 976580640. Its totient is φ = 91180800.

The previous prime is 345353293. The next prime is 345353341. The reversal of 345353340 is 43353543.

345353340 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

345353340 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 345353298 and 345353307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345353341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22435 + ... + 34554.

It is an arithmetic number, because the mean of its divisors is an integer number (20345430).

Almost surely, 2345353340 is an apocalyptic number.

345353340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345353340 is an abundant number, since it is smaller than the sum of its proper divisors (631227300).

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

345353340 is a wasteful number, since it uses less digits than its factorization.

345353340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57102 (or 57100 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 30.

The square root of 345353340 is about 18583.6847799353. The cubic root of 345353340 is about 701.5972641457.

The spelling of 345353340 in words is "three hundred forty-five million, three hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 6060 56989 113978 170967 227956 284945 341934 569890 683868 854835 1139780 1709670 3419340 5755889 11511778 17267667 23023556 28779445 34535334 57558890 69070668 86338335 115117780 172676670 345353340