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342035200 = 2852134111
BaseRepresentation
bin10100011000110…
…000101100000000
3212211121012002101
4110120300230000
51200030111300
653535000144
711322152113
oct2430605400
9784535071
10342035200
11166085121
1296669054
1355b27ac0
14335d657a
1520063b6a
hex14630b00

342035200 has 108 divisors (see below), whose sum is σ = 911934688. Its totient is φ = 126259200.

The previous prime is 342035191. The next prime is 342035203. The reversal of 342035200 is 2530243.

It is not an unprimeable number, because it can be changed into a prime (342035203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81145 + ... + 85255.

Almost surely, 2342035200 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 342035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455967344).

342035200 is an abundant number, since it is smaller than the sum of its proper divisors (569899488).

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

342035200 is a wasteful number, since it uses less digits than its factorization.

342035200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4150 (or 4131 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 342035200 is about 18494.1936834240. The cubic root of 342035200 is about 699.3430571281.

Adding to 342035200 its reverse (2530243), we get a palindrome (344565443).

The spelling of 342035200 in words is "three hundred forty-two million, thirty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 200 208 256 260 320 325 400 416 520 640 650 800 832 1040 1280 1300 1600 1664 2080 2600 3200 3328 4111 4160 5200 6400 8222 8320 10400 16444 16640 20555 20800 32888 41110 41600 53443 65776 82220 83200 102775 106886 131552 164440 205550 213772 263104 267215 328880 411100 427544 526208 534430 657760 822200 855088 1052416 1068860 1315520 1336075 1644400 1710176 2137720 2631040 2672150 3288800 3420352 4275440 5262080 5344300 6577600 6840704 8550880 10688600 13155200 13681408 17101760 21377200 26310400 34203520 42754400 68407040 85508800 171017600 342035200