Search a number
-
+
334450452 = 223717223599
BaseRepresentation
bin10011111011110…
…100111100010100
3212022022211202210
4103323310330110
51141104403302
653104233420
711200532130
oct2373647424
9768284683
10334450452
11161874636
129400b870
13543a069b
14325c03c0
151e56666c
hex13ef4f14

334450452 has 144 divisors (see below), whose sum is σ = 990259200. Its totient is φ = 85882368.

The previous prime is 334450439. The next prime is 334450513. The reversal of 334450452 is 254054433.

It is a super-2 number, since 2×3344504522 = 223714209686008608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 558049 + ... + 558647.

It is an arithmetic number, because the mean of its divisors is an integer number (6876800).

Almost surely, 2334450452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334450452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495129600).

334450452 is an abundant number, since it is smaller than the sum of its proper divisors (655808748).

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

334450452 is a wasteful number, since it uses less digits than its factorization.

334450452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 334450452 is about 18287.9865485515. The cubic root of 334450452 is about 694.1349774973.

The spelling of 334450452 in words is "three hundred thirty-four million, four hundred fifty thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 23 28 34 42 46 51 68 69 84 92 102 119 138 161 204 238 276 289 322 357 391 476 483 578 599 644 714 782 867 966 1156 1173 1198 1428 1564 1734 1797 1932 2023 2346 2396 2737 3468 3594 4046 4193 4692 5474 6069 6647 7188 8092 8211 8386 10183 10948 12138 12579 13294 13777 16422 16772 19941 20366 24276 25158 26588 27554 30549 32844 39882 40732 41331 46529 50316 55108 61098 71281 79764 82662 93058 96439 122196 139587 142562 165324 173111 186116 192878 213843 234209 279174 285124 289317 346222 385756 427686 468418 519333 558348 578634 692444 702627 855372 936836 1038666 1157268 1211777 1405254 1639463 2077332 2423554 2810508 3278926 3635331 3981553 4847108 4918389 6557852 7270662 7963106 9836778 11944659 14541324 15926212 19673556 23889318 27870871 47778636 55741742 83612613 111483484 167225226 334450452