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243300404440 = 2356795395261
BaseRepresentation
bin1110001010010111010…
…1011000110011011000
3212021000000122010202101
43202211311120303120
512441234400420230
6303434244013144
723402132213122
oct3424565306330
9767000563671
10243300404440
119420180aa15
123b1a09911b4
1319c35095b72
14bac0b32212
1564dea8daca
hex38a5d58cd8

243300404440 has 64 divisors (see below), whose sum is σ = 556185281760. Its totient is φ = 95766021120.

The previous prime is 243300404317. The next prime is 243300404461. The reversal of 243300404440 is 44404003342.

243300404440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 243300404399 and 243300404408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2506410 + ... + 2601670.

Almost surely, 2243300404440 is an apocalyptic number.

243300404440 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 243300404440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278092640880).

243300404440 is an abundant number, since it is smaller than the sum of its proper divisors (312884877320).

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

243300404440 is a wasteful number, since it uses less digits than its factorization.

243300404440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96292 (or 96288 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 243300404440 its reverse (44404003342), we get a palindrome (287704407782).

The spelling of 243300404440 in words is "two hundred forty-three billion, three hundred million, four hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 953 1340 1906 2680 3812 4765 7624 9530 19060 38120 63851 95261 127702 190522 255404 319255 381044 476305 510808 638510 762088 952610 1277020 1905220 2554040 3810440 6382487 12764974 25529948 31912435 51059896 63824870 90783733 127649740 181567466 255299480 363134932 453918665 726269864 907837330 1815674660 3631349320 6082510111 12165020222 24330040444 30412550555 48660080888 60825101110 121650202220 243300404440