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342415700 = 2252111718311
BaseRepresentation
bin10100011010001…
…101100101010100
3212212022112000222
4110122031211110
51200124300300
653551053512
711325325334
oct2432154524
9785275028
10342415700
11166314a90
1296811298
1355c2c053
14336950c4
15200db785
hex1468d954

342415700 has 72 divisors (see below), whose sum is σ = 858320064. Its totient is φ = 117184000.

The previous prime is 342415699. The next prime is 342415709. The reversal of 342415700 is 7514243.

It is a self number, because there is not a number n which added to its sum of digits gives 342415700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342415709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9545 + ... + 27855.

It is an arithmetic number, because the mean of its divisors is an integer number (11921112).

Almost surely, 2342415700 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 342415700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429160032).

342415700 is an abundant number, since it is smaller than the sum of its proper divisors (515904364).

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

342415700 is a wasteful number, since it uses less digits than its factorization.

342415700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18353 (or 18346 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 342415700 is about 18504.4778364589. The cubic root of 342415700 is about 699.6022910891.

Adding to 342415700 its reverse (7514243), we get a palindrome (349929943).

The spelling of 342415700 in words is "three hundred forty-two million, four hundred fifteen thousand, seven hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 850 935 1100 1700 1870 3740 4675 9350 18311 18700 36622 73244 91555 183110 201421 311287 366220 402842 457775 622574 805684 915550 1007105 1245148 1556435 1831100 2014210 3112870 3424157 4028420 5035525 6225740 6848314 7782175 10071050 13696628 15564350 17120785 20142100 31128700 34241570 68483140 85603925 171207850 342415700