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345140550 = 23252977907
BaseRepresentation
bin10100100100100…
…110110101000110
3220001102221211100
4110210212311012
51201323444200
654125320530
711360434446
oct2444466506
9801387740
10345140550
11167906227
1297706146
13566743a1
1433ba4126
1520478d00
hex14926d46

345140550 has 72 divisors (see below), whose sum is σ = 936955656. Its totient is φ = 91077120.

The previous prime is 345140527. The next prime is 345140581. The reversal of 345140550 is 55041543.

345140550 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 39697 + ... + 47603.

It is an arithmetic number, because the mean of its divisors is an integer number (13013273).

Almost surely, 2345140550 is an apocalyptic number.

345140550 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345140550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468477828).

345140550 is an abundant number, since it is smaller than the sum of its proper divisors (591815106).

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

345140550 is a wasteful number, since it uses less digits than its factorization.

345140550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8022 (or 8014 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 345140550 is about 18577.9587145628. The cubic root of 345140550 is about 701.4531377903.

The spelling of 345140550 in words is "three hundred forty-five million, one hundred forty thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 97 150 194 225 291 450 485 582 873 970 1455 1746 2425 2910 4365 4850 7275 7907 8730 14550 15814 21825 23721 39535 43650 47442 71163 79070 118605 142326 197675 237210 355815 395350 593025 711630 766979 1186050 1533958 1779075 2300937 3558150 3834895 4601874 6902811 7669790 11504685 13805622 19174475 23009370 34514055 38348950 57523425 69028110 115046850 172570275 345140550