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344394666 = 2357119203
BaseRepresentation
bin10100100001110…
…000101110101010
3220000001001200000
4110201300232222
51201131112131
654101323430
711351210040
oct2441605652
9800031600
10344394666
111674468a0
1297406576
1356472a35
1433a4c390
152037cce6
hex14870baa

344394666 has 96 divisors (see below), whose sum is σ = 964873728. Its totient is φ = 89443440.

The previous prime is 344394643. The next prime is 344394671. The reversal of 344394666 is 666493443.

It is a Curzon 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 47 ways as a sum of consecutive naturals, for example, 32821 + ... + 42023.

It is an arithmetic number, because the mean of its divisors is an integer number (10050768).

Almost surely, 2344394666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344394666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482436864).

344394666 is an abundant number, since it is smaller than the sum of its proper divisors (620479062).

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

344394666 is a wasteful number, since it uses less digits than its factorization.

344394666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9238 (or 9226 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The square root of 344394666 is about 18557.8734234287. The cubic root of 344394666 is about 700.9474693763.

The spelling of 344394666 in words is "three hundred forty-four million, three hundred ninety-four thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 243 297 378 462 486 567 594 693 891 1134 1386 1701 1782 2079 2673 3402 4158 5346 6237 9203 12474 18406 18711 27609 37422 55218 64421 82827 101233 128842 165654 193263 202466 248481 303699 386526 496962 579789 607398 708631 745443 911097 1159578 1417262 1490886 1739367 1822194 2125893 2236329 2733291 3478734 4251786 4472658 5218101 5466582 6377679 8199873 10436202 12755358 15654303 16399746 19133037 24599619 31308606 38266074 49199238 57399111 114798222 172197333 344394666