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343430000 = 245461563
BaseRepresentation
bin10100011110000…
…101001101110000
3212221020001101122
4110132011031300
51200404230000
654024521412
711340051434
oct2436051560
9787201348
10343430000
11166948051
1297020268
13561c5924
143387a9c4
152023c085
hex14785370

343430000 has 100 divisors (see below), whose sum is σ = 846610248. Its totient is φ = 134880000.

The previous prime is 343429979. The next prime is 343430023. The reversal of 343430000 is 34343.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 609719 + ... + 610281.

Almost surely, 2343430000 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 343430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423305124).

343430000 is an abundant number, since it is smaller than the sum of its proper divisors (503180248).

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

343430000 is an equidigital number, since it uses as much as digits as its factorization.

343430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 343430000 is about 18531.8644501842. The cubic root of 343430000 is about 700.2923948544.

Adding to 343430000 its reverse (34343), we get a palindrome (343464343).

Multiplying 343430000 by its reverse (34343), we get a square (11794416490000 = 34343002).

343430000 divided by its reverse (34343) gives a 4-th power (10000 = 104).

The spelling of 343430000 in words is "three hundred forty-three million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 200 244 250 305 400 488 500 563 610 625 976 1000 1126 1220 1250 1525 2000 2252 2440 2500 2815 3050 4504 4880 5000 5630 6100 7625 9008 10000 11260 12200 14075 15250 22520 24400 28150 30500 34343 38125 45040 56300 61000 68686 70375 76250 112600 122000 137372 140750 152500 171715 225200 274744 281500 305000 343430 351875 549488 563000 610000 686860 703750 858575 1126000 1373720 1407500 1717150 2747440 2815000 3434300 4292875 5630000 6868600 8585750 13737200 17171500 21464375 34343000 42928750 68686000 85857500 171715000 343430000