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434212466704 = 2425726412
BaseRepresentation
bin1100101000110010001…
…01000111000000010000
31112111210000100202100021
412110121011013000100
524103231342413304
6531250252033224
743241122032622
oct6243105070020
91474700322307
10434212466704
1115816a687a75
12701a0a62814
1331c3b655693
1417031c6ac12
15b465265a54
hex6519147010

434212466704 has 45 divisors (see below), whose sum is σ = 845892522391. Its totient is φ = 215924080640.

The previous prime is 434212466683. The next prime is 434212466731. The reversal of 434212466704 is 407664212434.

It is a happy number.

The square root of 434212466704 is 658948.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 354715536400 + 79496930304 = 595580^2 + 281952^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 677398224 + ... + 677398864.

Almost surely, 2434212466704 is an apocalyptic number.

434212466704 is the 658948-th square number.

It is an amenable number.

434212466704 is a deficient number, since it is larger than the sum of its proper divisors (411680055687).

434212466704 is an frugal number, since it uses more digits than its factorization.

434212466704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 43.

The spelling of 434212466704 in words is "four hundred thirty-four billion, two hundred twelve million, four hundred sixty-six thousand, seven hundred four".

Divisors: 1 2 4 8 16 257 514 641 1028 1282 2056 2564 4112 5128 10256 66049 132098 164737 264196 329474 410881 528392 658948 821762 1056784 1317896 1643524 2635792 3287048 6574096 42337409 84674818 105596417 169349636 211192834 338699272 422385668 677398544 844771336 1689542672 27138279169 54276558338 108553116676 217106233352 434212466704