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342303024 = 24373171223
BaseRepresentation
bin10100011001110…
…010000100110000
3212212002210110210
4110121302010300
51200112144044
653544424120
711324346000
oct2431620460
9785083423
10342303024
11166248368
1296778040
1355bbc98b
1433666000
15200b81b9
hex14672130

342303024 has 160 divisors (see below), whose sum is σ = 1092787200. Its totient is φ = 91972608.

The previous prime is 342303019. The next prime is 342303077. The reversal of 342303024 is 420303243.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 14.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 279277 + ... + 280499.

It is an arithmetic number, because the mean of its divisors is an integer number (6829920).

Almost surely, 2342303024 is an apocalyptic number.

342303024 is a gapful number since it is divisible by the number (34) 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 342303024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546393600).

342303024 is an abundant number, since it is smaller than the sum of its proper divisors (750484176).

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

342303024 is a wasteful number, since it uses less digits than its factorization.

342303024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 342303024 is about 18501.4330255794. The cubic root of 342303024 is about 699.5255451573.

Adding to 342303024 its reverse (420303243), we get a palindrome (762606267).

The spelling of 342303024 in words is "three hundred forty-two million, three hundred three thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 49 51 56 68 84 98 102 112 119 136 147 168 196 204 238 272 294 336 343 357 392 408 476 588 686 714 784 816 833 952 1029 1176 1223 1372 1428 1666 1904 2058 2352 2446 2499 2744 2856 3332 3669 4116 4892 4998 5488 5712 5831 6664 7338 8232 8561 9784 9996 11662 13328 14676 16464 17122 17493 19568 19992 20791 23324 25683 29352 34244 34986 39984 41582 46648 51366 58704 59927 62373 68488 69972 83164 93296 102732 119854 124746 136976 139944 145537 166328 179781 205464 239708 249492 279888 291074 332656 359562 410928 419489 436611 479416 498984 582148 719124 838978 873222 958832 997968 1018759 1164296 1258467 1438248 1677956 1746444 2037518 2328592 2516934 2876496 3056277 3355912 3492888 4075036 5033868 6112554 6711824 6985776 7131313 8150072 10067736 12225108 14262626 16300144 20135472 21393939 24450216 28525252 42787878 48900432 57050504 85575756 114101008 171151512 342303024