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345240612 = 223289277389
BaseRepresentation
bin10100100100111…
…111010000100100
3220001122001002100
4110210333100210
51201340144422
654131412100
711361332253
oct2444772044
9801561070
10345240612
11167974422
1297754030
13566aaab2
1433bcc79a
15204987ac
hex1493f424

345240612 has 72 divisors (see below), whose sum is σ = 887959800. Its totient is φ = 113084928.

The previous prime is 345240559. The next prime is 345240619. The reversal of 345240612 is 216042543.

345240612 is a `hidden beast` number, since 3 + 4 + 5 + 2 + 40 + 612 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2842596 + 342398016 = 1686^2 + 18504^2 .

It is not an unprimeable number, because it can be changed into a prime (345240619) 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 23 ways as a sum of consecutive naturals, for example, 887314 + ... + 887702.

It is an arithmetic number, because the mean of its divisors is an integer number (12332775).

Almost surely, 2345240612 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345240612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443979900).

345240612 is an abundant number, since it is smaller than the sum of its proper divisors (542719188).

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

345240612 is a wasteful number, since it uses less digits than its factorization.

345240612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 345240612 is about 18580.6515493941. The cubic root of 345240612 is about 701.5209188938.

The spelling of 345240612 in words is "three hundred forty-five million, two hundred forty thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 277 356 389 534 554 778 801 831 1068 1108 1167 1556 1602 1662 2334 2493 3204 3324 3501 4668 4986 7002 9972 14004 24653 34621 49306 69242 73959 98612 103863 107753 138484 147918 207726 215506 221877 295836 311589 323259 415452 431012 443754 623178 646518 887508 969777 1246356 1293036 1939554 3879108 9590017 19180034 28770051 38360068 57540102 86310153 115080204 172620306 345240612