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342004300 = 2252111718289
BaseRepresentation
bin10100011000101…
…001001001001100
3212211112121200221
4110120221021030
51200023114200
653534201124
711321663041
oct2430511114
9784477627
10342004300
11166063990
12966531a4
1355b16a11
14335c91c8
152005991a
hex1462924c

342004300 has 72 divisors (see below), whose sum is σ = 857288880. Its totient is φ = 117043200.

The previous prime is 342004277. The next prime is 342004321. The reversal of 342004300 is 3400243.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9556 + ... + 27844.

It is an arithmetic number, because the mean of its divisors is an integer number (11906790).

Almost surely, 2342004300 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 342004300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428644440).

342004300 is an abundant number, since it is smaller than the sum of its proper divisors (515284580).

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

342004300 is a wasteful number, since it uses less digits than its factorization.

342004300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18331 (or 18324 counting only the distinct ones).

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

The square root of 342004300 is about 18493.3582672266. The cubic root of 342004300 is about 699.3219965752.

Adding to 342004300 its reverse (3400243), we get a palindrome (345404543).

The spelling of 342004300 in words is "three hundred forty-two million, four thousand, three 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 18289 18700 36578 73156 91445 182890 201179 310913 365780 402358 457225 621826 804716 914450 1005895 1243652 1554565 1828900 2011790 3109130 3420043 4023580 5029475 6218260 6840086 7772825 10058950 13680172 15545650 17100215 20117900 31091300 34200430 68400860 85501075 171002150 342004300