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345042753 = 3112950531
BaseRepresentation
bin10100100100001…
…110111101000001
3220001020222200020
4110210032331001
51201312332003
654123244053
711356546356
oct2444167501
9801228606
10345042753
11167849800
1297679629
135663ba13
1433b7a62d
1520459d53
hex1490ef41

345042753 has 12 divisors (see below), whose sum is σ = 505683024. Its totient is φ = 209116600.

The previous prime is 345042743. The next prime is 345042809. The reversal of 345042753 is 357240543.

It is not a de Polignac number, because 345042753 - 222 = 340848449 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (345042713) 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 11 ways as a sum of consecutive naturals, for example, 474903 + ... + 475628.

It is an arithmetic number, because the mean of its divisors is an integer number (42140252).

Almost surely, 2345042753 is an apocalyptic number.

345042753 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

345042753 is a deficient number, since it is larger than the sum of its proper divisors (160640271).

345042753 is a wasteful number, since it uses less digits than its factorization.

345042753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950556 (or 950545 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 33.

The square root of 345042753 is about 18575.3264574273. The cubic root of 345042753 is about 701.3868783172.

The spelling of 345042753 in words is "three hundred forty-five million, forty-two thousand, seven hundred fifty-three".

Divisors: 1 3 11 33 121 363 950531 2851593 10455841 31367523 115014251 345042753