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340172000 = 2553712149
BaseRepresentation
bin10100010001101…
…001110011100000
3212201002112020222
4110101221303200
51144041001000
653431022212
711300262050
oct2421516340
9781075228
10340172000
11165022293
1295b0a968
1355624a0c
143326d560
151ece6a85
hex14469ce0

340172000 has 96 divisors (see below), whose sum is σ = 955281600. Its totient is φ = 116620800.

The previous prime is 340171999. The next prime is 340172003. The reversal of 340172000 is 271043.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 340172000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340172003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21926 + ... + 34074.

It is an arithmetic number, because the mean of its divisors is an integer number (9950850).

Almost surely, 2340172000 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 340172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477640800).

340172000 is an abundant number, since it is smaller than the sum of its proper divisors (615109600).

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

340172000 is a wasteful number, since it uses less digits than its factorization.

340172000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12181 (or 12163 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 340172000 is about 18443.7523297186. The cubic root of 340172000 is about 698.0708789198.

The spelling of 340172000 in words is "three hundred forty million, one hundred seventy-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 12149 14000 24298 28000 48596 60745 85043 97192 121490 170086 194384 242980 303725 340172 388768 425215 485960 607450 680344 850430 971920 1214900 1360688 1518625 1700860 1943840 2126075 2429800 2721376 3037250 3401720 4252150 4859600 6074500 6803440 8504300 9719200 10630375 12149000 13606880 17008600 21260750 24298000 34017200 42521500 48596000 68034400 85043000 170086000 340172000