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343445000 = 2354149461
BaseRepresentation
bin10100011110001…
…000111000001000
3212221020210222012
4110132020320020
51200410220000
654025115052
711340143243
oct2436107010
9787223865
10343445000
11166958348
1297028a88
13561cc6c2
143388225a
1520241735
hex14788e08

343445000 has 80 divisors (see below), whose sum is σ = 811849500. Its totient is φ = 136160000.

The previous prime is 343444961. The next prime is 343445017. The reversal of 343445000 is 544343.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 107453956 + 235991044 = 10366^2 + 15362^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 744770 + ... + 745230.

Almost surely, 2343445000 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 343445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405924750).

343445000 is an abundant number, since it is smaller than the sum of its proper divisors (468404500).

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

343445000 is a wasteful number, since it uses less digits than its factorization.

343445000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 343445000 is about 18532.2691540998. The cubic root of 343445000 is about 700.3025902683.

Adding to 343445000 its reverse (544343), we get a palindrome (343989343).

The spelling of 343445000 in words is "three hundred forty-three million, four hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 149 200 250 298 461 500 596 625 745 922 1000 1192 1250 1490 1844 2305 2500 2980 3688 3725 4610 5000 5960 7450 9220 11525 14900 18440 18625 23050 29800 37250 46100 57625 68689 74500 92200 93125 115250 137378 149000 186250 230500 274756 288125 343445 372500 461000 549512 576250 686890 745000 1152500 1373780 1717225 2305000 2747560 3434450 6868900 8586125 13737800 17172250 34344500 42930625 68689000 85861250 171722500 343445000