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342453300 = 223527313521
BaseRepresentation
bin10100011010010…
…110110000110100
3212212101102121120
4110122112300310
51200132001200
653551543540
711325543060
oct2432266064
9785342546
10342453300
11166340262
129682abb0
1355c431b7
14336a4aa0
15200e79a0
hex14696c34

342453300 has 144 divisors (see below), whose sum is σ = 1138177152. Its totient is φ = 77875200.

The previous prime is 342453277. The next prime is 342453317. The reversal of 342453300 is 3354243.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 657040 + ... + 657560.

It is an arithmetic number, because the mean of its divisors is an integer number (7904008).

Almost surely, 2342453300 is an apocalyptic number.

342453300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342453300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569088576).

342453300 is an abundant number, since it is smaller than the sum of its proper divisors (795723852).

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

342453300 is a wasteful number, since it uses less digits than its factorization.

342453300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 342453300 is about 18505.4937788755. The cubic root of 342453300 is about 699.6278974727.

The spelling of 342453300 in words is "three hundred forty-two million, four hundred fifty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 313 350 420 521 525 626 700 939 1042 1050 1252 1563 1565 1878 2084 2100 2191 2605 3126 3130 3647 3756 4382 4695 5210 6252 6260 6573 7294 7815 7825 8764 9390 10420 10941 10955 13025 13146 14588 15630 15650 18235 18780 21882 21910 23475 26050 26292 31260 31300 32865 36470 39075 43764 43820 46950 52100 54705 54775 65730 72940 78150 91175 93900 109410 109550 131460 156300 163073 164325 182350 218820 219100 273525 326146 328650 364700 489219 547050 652292 657300 815365 978438 1094100 1141511 1630730 1956876 2283022 2446095 3261460 3424533 4076825 4566044 4892190 5707555 6849066 8153650 9784380 11415110 12230475 13698132 16307300 17122665 22830220 24460950 28537775 34245330 48921900 57075550 68490660 85613325 114151100 171226650 342453300