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341005320 = 233253725601
BaseRepresentation
bin10100010100110…
…101010000001000
3212202122212100200
4110110311100020
51144244132240
653500532200
711310332415
oct2424652010
9782585320
10341005320
11165541387
1296251060
13558570c6
143340910c
151ee0d930
hex14535408

341005320 has 96 divisors (see below), whose sum is σ = 1138264920. Its totient is φ = 88473600.

The previous prime is 341005307. The next prime is 341005321. The reversal of 341005320 is 23500143.

341005320 is a `hidden beast` number, since 34 + 100 + 532 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 333354564 + 7650756 = 18258^2 + 2766^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 341005293 and 341005302.

It is not an unprimeable number, because it can be changed into a prime (341005321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 520 + ... + 26120.

Almost surely, 2341005320 is an apocalyptic number.

341005320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341005320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569132460).

341005320 is an abundant number, since it is smaller than the sum of its proper divisors (797259600).

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

341005320 is a wasteful number, since it uses less digits than its factorization.

341005320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25655 (or 25648 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 341005320 is about 18466.3293591336. The cubic root of 341005320 is about 698.6404359475.

Adding to 341005320 its reverse (23500143), we get a palindrome (364505463).

The spelling of 341005320 in words is "three hundred forty-one million, five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 13320 25601 51202 76803 102404 128005 153606 204808 230409 256010 307212 384015 460818 512020 614424 768030 921636 947237 1024040 1152045 1536060 1843272 1894474 2304090 2841711 3072120 3788948 4608180 4736185 5683422 7577896 8525133 9216360 9472370 11366844 14208555 17050266 18944740 22733688 28417110 34100532 37889480 42625665 56834220 68201064 85251330 113668440 170502660 341005320