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346484684 = 2272131719421
BaseRepresentation
bin10100101001101…
…110111111001100
3220010222020122002
4110221232333030
51202200002214
654214211432
711405033300
oct2451567714
9803866562
10346484684
11168644087
1298053b78
1356a25130
1434033d00
15206421de
hex14a6efcc

346484684 has 144 divisors (see below), whose sum is σ = 848625120. Its totient is φ = 121927680.

The previous prime is 346484683. The next prime is 346484693. The reversal of 346484684 is 486484643.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346484683) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 822794 + ... + 823214.

It is an arithmetic number, because the mean of its divisors is an integer number (5893230).

Almost surely, 2346484684 is an apocalyptic number.

346484684 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346484684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424312560).

346484684 is an abundant number, since it is smaller than the sum of its proper divisors (502140436).

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

346484684 is a wasteful number, since it uses less digits than its factorization.

346484684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 479 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 47.

The square root of 346484684 is about 18614.0990649561. The cubic root of 346484684 is about 702.3625505837.

The spelling of 346484684 in words is "three hundred forty-six million, four hundred eighty-four thousand, six hundred eighty-four".

Divisors: 1 2 4 7 13 14 17 19 26 28 34 38 49 52 68 76 91 98 119 133 182 196 221 238 247 266 323 364 421 442 476 494 532 637 646 833 842 884 931 988 1274 1292 1547 1666 1684 1729 1862 2261 2548 2947 3094 3332 3458 3724 4199 4522 5473 5894 6188 6916 7157 7999 8398 9044 10829 10946 11788 12103 14314 15827 15998 16796 20629 21658 21892 24206 28628 29393 31654 31996 38311 41258 43316 48412 50099 55993 58786 63308 76622 82516 93041 100198 103987 111986 117572 135983 153244 186082 200396 205751 207974 223972 268177 271966 350693 372164 391951 411502 415948 536354 543932 651287 701386 727909 783902 823004 951881 1072708 1302574 1402772 1455818 1567804 1767779 1903762 2605148 2911636 3535558 3807524 4559009 5095363 6663167 7071116 9118018 10190726 12374453 13326334 18236036 20381452 24748906 26652668 49497812 86621171 173242342 346484684