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243392040 = 23345431747
BaseRepresentation
bin11101000000111…
…01111000101000
3121221222121010000
432200131320220
5444302021130
640052423000
76013540533
oct1640357050
9557877100
10243392040
11115430051
1269617a60
133b56aa78
1424479a1a
151657b260
hexe81de28

243392040 has 160 divisors (see below), whose sum is σ = 837571680. Its totient is φ = 63358848.

The previous prime is 243392029. The next prime is 243392053. The reversal of 243392040 is 40293342.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 243391995 and 243392013.

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 39 ways as a sum of consecutive naturals, for example, 138447 + ... + 140193.

It is an arithmetic number, because the mean of its divisors is an integer number (5234823).

Almost surely, 2243392040 is an apocalyptic number.

243392040 is a gapful number since it is divisible by the number (20) 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 243392040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418785840).

243392040 is an abundant number, since it is smaller than the sum of its proper divisors (594179640).

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

243392040 is a wasteful number, since it uses less digits than its factorization.

243392040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 243392040 is about 15601.0268892788. The cubic root of 243392040 is about 624.3605534628.

The spelling of 243392040 in words is "two hundred forty-three million, three hundred ninety-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 43 45 54 60 72 81 86 90 108 120 129 135 162 172 180 215 216 258 270 324 344 360 387 405 430 516 540 645 648 774 810 860 1032 1080 1161 1290 1548 1620 1720 1747 1935 2322 2580 3096 3240 3483 3494 3870 4644 5160 5241 5805 6966 6988 7740 8735 9288 10482 11610 13932 13976 15480 15723 17415 17470 20964 23220 26205 27864 31446 34830 34940 41928 46440 47169 52410 62892 69660 69880 75121 78615 94338 104820 125784 139320 141507 150242 157230 188676 209640 225363 235845 283014 300484 314460 375605 377352 450726 471690 566028 600968 628920 676089 707535 751210 901452 943380 1126815 1132056 1352178 1415070 1502420 1802904 1886760 2028267 2253630 2704356 2830140 3004840 3380445 4056534 4507260 5408712 5660280 6084801 6760890 8113068 9014520 10141335 12169602 13521780 16226136 20282670 24339204 27043560 30424005 40565340 48678408 60848010 81130680 121696020 243392040