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345327444 = 2232711124577
BaseRepresentation
bin10100100101010…
…100011101010100
3220001210110012100
4110211110131110
51201400434234
654133322100
711362143360
oct2445243524
9801713170
10345327444
11167a23690
1297796330
135670b487
1433c122a0
15204b4399
hex14954754

345327444 has 72 divisors (see below), whose sum is σ = 1088313408. Its totient is φ = 89694720.

The previous prime is 345327431. The next prime is 345327467. The reversal of 345327444 is 444723543.

345327444 is a `hidden beast` number, since 345 + 3 + 274 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 345327399 and 345327408.

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 23 ways as a sum of consecutive naturals, for example, 59517 + ... + 65060.

It is an arithmetic number, because the mean of its divisors is an integer number (15115464).

Almost surely, 2345327444 is an apocalyptic number.

It is an amenable number.

345327444 is an abundant number, since it is smaller than the sum of its proper divisors (742985964).

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

345327444 is a wasteful number, since it uses less digits than its factorization.

345327444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124605 (or 124600 counting only the distinct ones).

The product of its digits is 161280, while the sum is 36.

The square root of 345327444 is about 18582.9880266872. The cubic root of 345327444 is about 701.5797275006.

The spelling of 345327444 in words is "three hundred forty-five million, three hundred twenty-seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 124577 249154 373731 498308 747462 872039 1121193 1370347 1494924 1744078 2242386 2616117 2740694 3488156 4111041 4484772 5232234 5481388 7848351 8222082 9592429 10464468 12333123 15696702 16444164 19184858 24666246 28777287 31393404 38369716 49332492 57554574 86331861 115109148 172663722 345327444