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342295460 = 225132295749
BaseRepresentation
bin10100011001110…
…000001110100100
3212212002102002122
4110121300032210
51200111423320
653544325112
711324314643
oct2431601644
9785072078
10342295460
11166242711
1296773798
1355bb93c0
143366335a
15200b5d25
hex146703a4

342295460 has 48 divisors (see below), whose sum is σ = 777630000. Its totient is φ = 125812224.

The previous prime is 342295333. The next prime is 342295463. The reversal of 342295460 is 64592243.

It can be written as a sum of positive squares in 8 ways, for example, as 36675136 + 305620324 = 6056^2 + 17482^2 .

It is a super-2 number, since 2×3422954602 = 234332363873223200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 342295460.

It is not an unprimeable number, because it can be changed into a prime (342295463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56666 + ... + 62414.

It is an arithmetic number, because the mean of its divisors is an integer number (16200625).

Almost surely, 2342295460 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 342295460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388815000).

342295460 is an abundant number, since it is smaller than the sum of its proper divisors (435334540).

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

342295460 is a wasteful number, since it uses less digits than its factorization.

With its successor (342295461) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (5998).

With its successor (342295461) it forms an eRAP, since the sums of their prime factors are consecutive (6000 and 6001).

342295460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6000 (or 5998 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 342295460 is about 18501.2286078520. The cubic root of 342295460 is about 699.5203925588.

The spelling of 342295460 in words is "three hundred forty-two million, two hundred ninety-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 229 260 458 916 1145 2290 2977 4580 5749 5954 11498 11908 14885 22996 28745 29770 57490 59540 74737 114980 149474 298948 373685 747370 1316521 1494740 2633042 5266084 6582605 13165210 17114773 26330420 34229546 68459092 85573865 171147730 342295460