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341872640 = 212516693
BaseRepresentation
bin10100011000001…
…001000000000000
3212211021221002122
4110120021000000
51200004411030
653531303412
711320604144
oct2430110000
9784257078
10341872640
11165a83a7a
12965aab68
1355a9bb05
1433593224
15200308e5
hex14609000

341872640 has 52 divisors (see below), whose sum is σ = 820443324. Its totient is φ = 136740864.

The previous prime is 341872639. The next prime is 341872649. The reversal of 341872640 is 46278143.

It can be written as a sum of positive squares in 2 ways, for example, as 67108864 + 274763776 = 8192^2 + 16576^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 341872640.

It is not an unprimeable number, because it can be changed into a prime (341872649) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12134 + ... + 28826.

Almost surely, 2341872640 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 341872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410221662).

341872640 is an abundant number, since it is smaller than the sum of its proper divisors (478570684).

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

341872640 is an equidigital number, since it uses as much as digits as its factorization.

341872640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16722 (or 16700 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 341872640 is about 18489.7982682343. The cubic root of 341872640 is about 699.2322466787.

The spelling of 341872640 in words is "three hundred forty-one million, eight hundred seventy-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 10240 16693 20480 33386 66772 83465 133544 166930 267088 333860 534176 667720 1068352 1335440 2136704 2670880 4273408 5341760 8546816 10683520 17093632 21367040 34187264 42734080 68374528 85468160 170936320 341872640