Search a number
-
+
243411440 = 24517892011
BaseRepresentation
bin11101000001000…
…10100111110000
3121222000120201112
432200202213300
5444303131230
640053052452
76013651226
oct1640424760
9558016645
10243411440
11115443688
1269627128
133b57684c
1424482b16
1516581d95
hexe8229f0

243411440 has 80 divisors (see below), whose sum is σ = 606255840. Its totient is φ = 90562560.

The previous prime is 243411367. The next prime is 243411463. The reversal of 243411440 is 44114342.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120035 + ... + 122045.

It is an arithmetic number, because the mean of its divisors is an integer number (7578198).

Almost surely, 2243411440 is an apocalyptic number.

243411440 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 243411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303127920).

243411440 is an abundant number, since it is smaller than the sum of its proper divisors (362844400).

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

243411440 is a wasteful number, since it uses less digits than its factorization.

243411440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 243411440 is about 15601.6486308339. The cubic root of 243411440 is about 624.3771416154.

Adding to 243411440 its reverse (44114342), we get a palindrome (287525782).

The spelling of 243411440 in words is "two hundred forty-three million, four hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 89 136 170 178 272 340 356 445 680 712 890 1360 1424 1513 1780 2011 3026 3560 4022 6052 7120 7565 8044 10055 12104 15130 16088 20110 24208 30260 32176 34187 40220 60520 68374 80440 121040 136748 160880 170935 178979 273496 341870 357958 546992 683740 715916 894895 1367480 1431832 1789790 2734960 2863664 3042643 3579580 6085286 7159160 12170572 14318320 15213215 24341144 30426430 48682288 60852860 121705720 243411440