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243150390 = 233571271013
BaseRepresentation
bin11100111111000…
…10111000110110
3121221112022122000
432133202320312
5444221303030
640043320130
76011513160
oct1637427066
9557468560
10243150390
1111528553a
1269520046
133b4b4a92
1424415930
151652e860
hexe7e2e36

243150390 has 128 divisors (see below), whose sum is σ = 747601920. Its totient is φ = 55085184.

The previous prime is 243150389. The next prime is 243150407. The reversal of 243150390 is 93051342.

It is a super-2 number, since 2×2431503902 = 118244224314304200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239524 + ... + 240536.

It is an arithmetic number, because the mean of its divisors is an integer number (5840640).

Almost surely, 2243150390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243150390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373800960).

243150390 is an abundant number, since it is smaller than the sum of its proper divisors (504451530).

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

243150390 is a wasteful number, since it uses less digits than its factorization.

243150390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 243150390 is about 15593.2802835067. The cubic root of 243150390 is about 624.1538544439.

The spelling of 243150390 in words is "two hundred forty-three million, one hundred fifty thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 127 135 189 210 254 270 315 378 381 630 635 762 889 945 1013 1143 1270 1778 1890 1905 2026 2286 2667 3039 3429 3810 4445 5065 5334 5715 6078 6858 7091 8001 8890 9117 10130 11430 13335 14182 15195 16002 17145 18234 21273 24003 26670 27351 30390 34290 35455 40005 42546 45585 48006 54702 63819 70910 80010 91170 106365 120015 127638 128651 136755 191457 212730 240030 257302 273510 319095 382914 385953 638190 643255 771906 900557 957285 1157859 1286510 1801114 1914570 1929765 2315718 2701671 3473577 3859530 4502785 5403342 5789295 6947154 8105013 9005570 11578590 13508355 16210026 17367885 24315039 27016710 34735770 40525065 48630078 81050130 121575195 243150390