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3465428346 = 239471873
BaseRepresentation
bin1100111010001110…
…0011110101111010
322221111211000000000
43032203203311322
524044122201341
61331512053430
7151606440432
oct31643436572
98844730000
103465428346
111519164676
12808694276
13432c53823
1424c35d2c2
1515437d8b6
hexce8e3d7a

3465428346 has 80 divisors (see below), whose sum is σ = 7967228544. Its totient is φ = 1129961664.

The previous prime is 3465428327. The next prime is 3465428383. The reversal of 3465428346 is 6438245643.

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 39 ways as a sum of consecutive naturals, for example, 1849266 + ... + 1851138.

Almost surely, 23465428346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3465428346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983614272).

3465428346 is an abundant number, since it is smaller than the sum of its proper divisors (4501800198).

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

3465428346 is an frugal number, since it uses more digits than its factorization.

3465428346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1925 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The square root of 3465428346 is about 58867.8889208709. Note that the first 3 decimals coincide. The cubic root of 3465428346 is about 1513.2788924613.

The spelling of 3465428346 in words is "three billion, four hundred sixty-five million, four hundred twenty-eight thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 243 282 423 486 729 846 1269 1458 1873 2187 2538 3746 3807 4374 5619 6561 7614 11238 11421 13122 16857 19683 22842 33714 34263 39366 50571 68526 88031 101142 102789 151713 176062 205578 264093 303426 308367 455139 528186 616734 792279 910278 925101 1365417 1584558 1850202 2376837 2730834 4096251 4753674 7130511 8192502 12288753 14261022 21391533 24577506 36866259 42783066 64174599 73732518 128349198 192523797 385047594 577571391 1155142782 1732714173 3465428346