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2324434400032 = 251741104216033
BaseRepresentation
bin100001110100110011000…
…101100011001100100000
322020012202211102000020011
4201310303011203030200
5301040420201300112
64535455212054304
7326635436255323
oct41646305431440
98205684360204
102324434400032
11816872691518
123165a8464394
1313b268686544
1480708bc87ba
15406e5888aa7
hex21d33163320

2324434400032 has 48 divisors (see below), whose sum is σ = 4963601267352. Its totient is φ = 1067172167680.

The previous prime is 2324434399949. The next prime is 2324434400047. The reversal of 2324434400032 is 2300044344232.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2275644658576 + 48789741456 = 1508524^2 + 220884^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2324434399967 and 2324434400003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52085713 + ... + 52130320.

Almost surely, 22324434400032 is an apocalyptic number.

It is an amenable number.

2324434400032 is an abundant number, since it is smaller than the sum of its proper divisors (2639166867320).

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

2324434400032 is a wasteful number, since it uses less digits than its factorization.

2324434400032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104216101 (or 104216093 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 31.

Adding to 2324434400032 its reverse (2300044344232), we get a palindrome (4624478744264).

The spelling of 2324434400032 in words is "two trillion, three hundred twenty-four billion, four hundred thirty-four million, four hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 41 68 82 136 164 272 328 544 656 697 1312 1394 2788 5576 11152 22304 104216033 208432066 416864132 833728264 1667456528 1771672561 3334913056 3543345122 4272857353 7086690244 8545714706 14173380488 17091429412 28346760976 34182858824 56693521952 68365717648 72638575001 136731435296 145277150002 290554300004 581108600008 1162217200016 2324434400032