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345002000 = 24537191297
BaseRepresentation
bin10100100100000…
…101000000010000
3220001011220202212
4110210011000100
51201310031000
654122331252
711356316510
oct2444050020
9801156685
10345002000
11167821122
1297659b28
13566262c5
1433b69840
152044cc35
hex14905010

345002000 has 160 divisors (see below), whose sum is σ = 1004340480. Its totient is φ = 111974400.

The previous prime is 345001999. The next prime is 345002017. The reversal of 345002000 is 200543.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265352 + ... + 266648.

It is an arithmetic number, because the mean of its divisors is an integer number (6277128).

Almost surely, 2345002000 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 345002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502170240).

345002000 is an abundant number, since it is smaller than the sum of its proper divisors (659338480).

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

345002000 is a wasteful number, since it uses less digits than its factorization.

345002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 345002000 is about 18574.2294591189. The cubic root of 345002000 is about 701.3592636283.

Adding to 345002000 its reverse (200543), we get a palindrome (345202543).

The spelling of 345002000 in words is "three hundred forty-five million, two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 25 28 35 38 40 50 56 70 76 80 95 100 112 125 133 140 152 175 190 200 250 266 280 304 350 380 400 475 500 532 560 665 700 760 875 950 1000 1064 1297 1330 1400 1520 1750 1900 2000 2128 2375 2594 2660 2800 3325 3500 3800 4750 5188 5320 6485 6650 7000 7600 9079 9500 10376 10640 12970 13300 14000 16625 18158 19000 20752 24643 25940 26600 32425 33250 36316 38000 45395 49286 51880 53200 64850 66500 72632 90790 98572 103760 123215 129700 133000 145264 162125 172501 181580 197144 226975 246430 259400 266000 324250 345002 363160 394288 453950 492860 518800 616075 648500 690004 726320 862505 907900 985720 1134875 1232150 1297000 1380008 1725010 1815800 1971440 2269750 2464300 2594000 2760016 3080375 3450020 3631600 4312525 4539500 4928600 6160750 6900040 8625050 9079000 9857200 12321500 13800080 17250100 18158000 21562625 24643000 34500200 43125250 49286000 69000400 86250500 172501000 345002000