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345342200 = 235272131269
BaseRepresentation
bin10100100101011…
…000000011111000
3220001211012102212
4110211120003320
51201401422300
654133514252
711362234400
oct2445300370
9801735385
10345342200
11167a33785
12977a2988
13567150c8
1433c17800
15204b8935
hex149580f8

345342200 has 144 divisors (see below), whose sum is σ = 944638200. Its totient is φ = 117062400.

The previous prime is 345342169. The next prime is 345342203. The reversal of 345342200 is 2243543.

It is a super-2 number, since 2×3453422002 = 238522470201680000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345342203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1283666 + ... + 1283934.

Almost surely, 2345342200 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 345342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472319100).

345342200 is an abundant number, since it is smaller than the sum of its proper divisors (599296000).

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

345342200 is a wasteful number, since it uses less digits than its factorization.

345342200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 414 counting only the distinct ones).

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

The square root of 345342200 is about 18583.3850522449. The cubic root of 345342200 is about 701.5897202994.

Adding to 345342200 its reverse (2243543), we get a palindrome (347585743).

The spelling of 345342200 in words is "three hundred forty-five million, three hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 131 140 175 196 200 245 262 269 280 350 392 490 524 538 655 700 917 980 1048 1076 1225 1310 1345 1400 1834 1883 1960 2152 2450 2620 2690 3275 3668 3766 4585 4900 5240 5380 6419 6550 6725 7336 7532 9170 9415 9800 10760 12838 13100 13181 13450 15064 18340 18830 22925 25676 26200 26362 26900 32095 35239 36680 37660 45850 47075 51352 52724 53800 64190 65905 70478 75320 91700 94150 105448 128380 131810 140956 160475 176195 183400 188300 246673 256760 263620 281912 320950 329525 352390 376600 493346 527240 641900 659050 704780 880975 986692 1233365 1283800 1318100 1409560 1726711 1761950 1973384 2466730 2636200 3453422 3523900 4933460 6166825 6906844 7047800 8633555 9866920 12333650 13813688 17267110 24667300 34534220 43167775 49334600 69068440 86335550 172671100 345342200