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345420937 = 3711298269
BaseRepresentation
bin10100100101101…
…011010010001001
3220001222012110001
4110211223102021
51201411432222
654135323001
711363013061
oct2445532211
9801865401
10345420937
11167a87954
1297820461
1356741bb4
1433c383a1
15204d1e27
hex1496b489

345420937 has 8 divisors (see below), whose sum is σ = 355113800. Its totient is φ = 335746944.

The previous prime is 345420913. The next prime is 345420947. The reversal of 345420937 is 739024543.

It is the 7588-th star number.

It can be written as a sum of positive squares in 4 ways, for example, as 118135161 + 227285776 = 10869^2 + 15076^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-345420937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 345420896 and 345420905.

It is not an unprimeable number, because it can be changed into a prime (345420947) 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 7 ways as a sum of consecutive naturals, for example, 37639 + ... + 45907.

It is an arithmetic number, because the mean of its divisors is an integer number (44389225).

Almost surely, 2345420937 is an apocalyptic number.

345420937 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

345420937 is a deficient number, since it is larger than the sum of its proper divisors (9692863).

345420937 is a wasteful number, since it uses less digits than its factorization.

345420937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9435.

The product of its (nonzero) digits is 90720, while the sum is 37.

The square root of 345420937 is about 18585.5034099160. The cubic root of 345420937 is about 701.6430363746.

The spelling of 345420937 in words is "three hundred forty-five million, four hundred twenty thousand, nine hundred thirty-seven".

Divisors: 1 37 1129 8269 41773 305953 9335701 345420937