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243332234240 = 2105394712041
BaseRepresentation
bin1110001010011110111…
…0110011110000000000
3212021002020112021000212
43202213232303300000
512441321022443430
6303441342133252
723402666602304
oct3424756636000
9767066467025
10243332234240
1194218780137
123b1ab581228
1319c3b85b974
14bac5059d04
1564e2779b95
hex38a7bb3c00

243332234240 has 88 divisors (see below), whose sum is σ = 583908584112. Its totient is φ = 97300152320.

The previous prime is 243332234239. The next prime is 243332234251. The reversal of 243332234240 is 42432233342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 243332234197 and 243332234206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20202620 + ... + 20214660.

Almost surely, 2243332234240 is an apocalyptic number.

243332234240 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 243332234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291954292056).

243332234240 is an abundant number, since it is smaller than the sum of its proper divisors (340576349872).

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

243332234240 is a wasteful number, since it uses less digits than its factorization.

243332234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16013 (or 15995 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 243332234240 its reverse (42432233342), we get a palindrome (285764467582).

The spelling of 243332234240 in words is "two hundred forty-three billion, three hundred thirty-two million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 3947 5120 7894 12041 15788 19735 24082 31576 39470 48164 60205 63152 78940 96328 120410 126304 157880 192656 240820 252608 315760 385312 481640 505216 631520 770624 963280 1010432 1263040 1541248 1926560 2020864 2526080 3082496 3853120 4041728 5052160 6164992 7706240 10104320 12329984 15412480 20208640 30824960 47525827 61649920 95051654 190103308 237629135 380206616 475258270 760413232 950516540 1520826464 1901033080 3041652928 3802066160 6083305856 7604132320 12166611712 15208264640 24333223424 30416529280 48666446848 60833058560 121666117120 243332234240