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345061145 = 51121373601
BaseRepresentation
bin10100100100010…
…011011100011001
3220001021220220102
4110210103130121
51201313424040
654123505145
711356654112
oct2444233431
9801256812
10345061145
11167861600
12976881b5
13566471c0
1433b83209
1520460515
hex14913719

345061145 has 48 divisors (see below), whose sum is σ = 497690256. Its totient is φ = 228096000.

The previous prime is 345061141. The next prime is 345061151. The reversal of 345061145 is 541160543.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 698896 + 344362249 = 836^2 + 18557^2 .

It is not a de Polignac number, because 345061145 - 22 = 345061141 is a prime.

It is a super-2 number, since 2×3450611452 = 238134387577422050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345061141) 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, 573845 + ... + 574445.

It is an arithmetic number, because the mean of its divisors is an integer number (10368547).

Almost surely, 2345061145 is an apocalyptic number.

It is an amenable number.

345061145 is a deficient number, since it is larger than the sum of its proper divisors (152629111).

345061145 is a wasteful number, since it uses less digits than its factorization.

345061145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 345061145 is about 18575.8215161537. The cubic root of 345061145 is about 701.3993402302.

The spelling of 345061145 in words is "three hundred forty-five million, sixty-one thousand, one hundred forty-five".

Divisors: 1 5 11 13 55 65 73 121 143 365 601 605 715 803 949 1573 3005 4015 4745 6611 7813 7865 8833 10439 33055 39065 43873 44165 52195 72721 85943 114829 219365 363605 429715 482603 570349 574145 945373 2413015 2851745 4726865 5308633 6273839 26543165 31369195 69012229 345061145