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243343322240 = 275565767213
BaseRepresentation
bin1110001010100001100…
…1000110110010000000
3212021010000101120220112
43202220121012302000
512441331342302430
6303442415530452
723403163052654
oct3425031066200
9767100346815
10243343322240
1194223a63777
123b1b3229a28
1319c40c41805
14bac6704a64
1564e371a195
hex38a8646c80

243343322240 has 64 divisors (see below), whose sum is σ = 581854122360. Its totient is φ = 97318674432.

The previous prime is 243343322231. The next prime is 243343322297. The reversal of 243343322240 is 42223343342.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 149496675904 + 93846646336 = 386648^2 + 306344^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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 = 243343322197 and 243343322206.

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, 3586874 + ... + 3654086.

Almost surely, 2243343322240 is an apocalyptic number.

243343322240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243343322240 is an abundant number, since it is smaller than the sum of its proper divisors (338510800120).

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

243343322240 is an equidigital number, since it uses as much as digits as its factorization.

243343322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72889 (or 72877 counting only the distinct ones).

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

Adding to 243343322240 its reverse (42223343342), we get a palindrome (285566665582).

The spelling of 243343322240 in words is "two hundred forty-three billion, three hundred forty-three million, three hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 5657 11314 22628 28285 45256 56570 67213 90512 113140 134426 181024 226280 268852 336065 362048 452560 537704 672130 724096 905120 1075408 1344260 1810240 2150816 2688520 3620480 4301632 5377040 8603264 10754080 21508160 43016320 380223941 760447882 1520895764 1901119705 3041791528 3802239410 6083583056 7604478820 12167166112 15208957640 24334332224 30417915280 48668664448 60835830560 121671661120 243343322240