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34104033200 = 2452175015299
BaseRepresentation
bin11111110000110000…
…100011111110110000
310021000202202101112202
4133300300203332300
51024321113030300
623400035442332
72315062333136
oct376060437660
9107022671482
1034104033200
1113510923a06
1267394563a8
1332a6710003
14191751d756
15d4909dad5
hex7f0c23fb0

34104033200 has 60 divisors (see below), whose sum is σ = 86754659400. Its totient is φ = 12839162880.

The previous prime is 34104033053. The next prime is 34104033203. The reversal of 34104033200 is 233040143.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (34104033203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2500850 + ... + 2514449.

It is an arithmetic number, because the mean of its divisors is an integer number (1445910990).

Almost surely, 234104033200 is an apocalyptic number.

It is an amenable number.

34104033200 is an abundant number, since it is smaller than the sum of its proper divisors (52650626200).

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

34104033200 is a wasteful number, since it uses less digits than its factorization.

34104033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5015334 (or 5015323 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 34104033200 its reverse (233040143), we get a palindrome (34337073343).

The spelling of 34104033200 in words is "thirty-four billion, one hundred four million, thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 6800 5015299 10030598 20061196 25076495 40122392 50152990 80244784 85260083 100305980 125382475 170520166 200611960 250764950 341040332 401223920 426300415 501529900 682080664 852600830 1003059800 1364161328 1705201660 2006119600 2131502075 3410403320 4263004150 6820806640 8526008300 17052016600 34104033200