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34104211456 = 21172378921
BaseRepresentation
bin11111110000110001…
…001111100000000000
310021000210002110001211
4133300301033200000
51024321134231311
623400043335504
72315064004630
oct376061174000
9107023073054
1034104211456
1113510a35927
126739521594
1332a67731a3
1419175686c0
15d490d6821
hex7f0c4f800

34104211456 has 48 divisors (see below), whose sum is σ = 77933484720. Its totient is φ = 14616084480.

The previous prime is 34104211417. The next prime is 34104211499. The reversal of 34104211456 is 65411240143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1175125 + ... + 1203796.

It is an arithmetic number, because the mean of its divisors is an integer number (1623614265).

Almost surely, 234104211456 is an apocalyptic number.

It is an amenable number.

34104211456 is an abundant number, since it is smaller than the sum of its proper divisors (43829273264).

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

34104211456 is an equidigital number, since it uses as much as digits as its factorization.

34104211456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378950 (or 2378930 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 34104211456 its reverse (65411240143), we get a palindrome (99515451599).

The spelling of 34104211456 in words is "thirty-four billion, one hundred four million, two hundred eleven thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 7168 14336 2378921 4757842 9515684 16652447 19031368 33304894 38062736 66609788 76125472 133219576 152250944 266439152 304501888 532878304 609003776 1065756608 1218007552 2131513216 2436015104 4263026432 4872030208 8526052864 17052105728 34104211456