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34023432234304 = 26636183574301
BaseRepresentation
bin1111011110001101100101…
…00101111010010101000000
311110110121102111021022000001
413233012302211322111000
513424414442122444204
6200210052103205344
710111053240166252
oct757066245722500
9143417374238001
1034023432234304
11a928290564117
123995b76746854
1315ca51ba13386
14858a5876dcd2
153e0062ec34a4
hex1ef1b297a540

34023432234304 has 28 divisors (see below), whose sum is σ = 67525863084148. Its totient is φ = 17009041536000.

The previous prime is 34023432234287. The next prime is 34023432234361. The reversal of 34023432234304 is 40343223432043.

It can be written as a sum of positive squares in 2 ways, for example, as 4098681230400 + 29924751003904 = 2024520^2 + 5470352^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41380047 + ... + 42194254.

It is an arithmetic number, because the mean of its divisors is an integer number (2411637967291).

Almost surely, 234023432234304 is an apocalyptic number.

It is an amenable number.

34023432234304 is a deficient number, since it is larger than the sum of its proper divisors (33502430849844).

34023432234304 is an equidigital number, since it uses as much as digits as its factorization.

34023432234304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83580674 (or 83580664 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 37.

Adding to 34023432234304 its reverse (40343223432043), we get a palindrome (74366655666347).

The spelling of 34023432234304 in words is "thirty-four trillion, twenty-three billion, four hundred thirty-two million, two hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 6361 12722 25444 50888 101776 203552 407104 83574301 167148602 334297204 668594408 1337188816 2674377632 5348755264 531616128661 1063232257322 2126464514644 4252929029288 8505858058576 17011716117152 34023432234304