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342034000 = 24537112221
BaseRepresentation
bin10100011000110…
…000011001010000
3212211121010102221
4110120300121100
51200030042000
653534550424
711322145450
oct2430603120
9784533387
10342034000
11166084230
1296668414
1355b273a9
14335d5d60
152006361a
hex14630650

342034000 has 160 divisors (see below), whose sum is σ = 1031576832. Its totient is φ = 106560000.

The previous prime is 342033983. The next prime is 342034001. The reversal of 342034000 is 430243.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342034001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152890 + ... + 155110.

Almost surely, 2342034000 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 342034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515788416).

342034000 is an abundant number, since it is smaller than the sum of its proper divisors (689542832).

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

342034000 is a wasteful number, since it uses less digits than its factorization.

342034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 342034000 is about 18494.1612407808. The cubic root of 342034000 is about 699.3422392662.

Adding to 342034000 its reverse (430243), we get a palindrome (342464243).

The spelling of 342034000 in words is "three hundred forty-two million, thirty-four thousand".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 77 80 88 100 110 112 125 140 154 175 176 200 220 250 275 280 308 350 385 400 440 500 550 560 616 700 770 875 880 1000 1100 1232 1375 1400 1540 1750 1925 2000 2200 2221 2750 2800 3080 3500 3850 4400 4442 5500 6160 7000 7700 8884 9625 11000 11105 14000 15400 15547 17768 19250 22000 22210 24431 30800 31094 35536 38500 44420 48862 55525 62188 77000 77735 88840 97724 111050 122155 124376 154000 155470 171017 177680 195448 222100 244310 248752 277625 310940 342034 388675 390896 444200 488620 555250 610775 621880 684068 777350 855085 888400 977240 1110500 1221550 1243760 1368136 1554700 1710170 1943375 1954480 2221000 2443100 2736272 3053875 3109400 3420340 3886750 4275425 4442000 4886200 6107750 6218800 6840680 7773500 8550850 9772400 12215500 13681360 15547000 17101700 21377125 24431000 31094000 34203400 42754250 48862000 68406800 85508500 171017000 342034000