Search a number
-
+
334436466 = 237213253127
BaseRepresentation
bin10011111011110…
…001100001110010
3212022022010120210
4103323301201302
51141103431331
653104044550
711200443300
oct2373614162
9768263523
10334436466
11161865081
1294003756
1354397200
14325b9270
151e562446
hex13ef1872

334436466 has 144 divisors (see below), whose sum is σ = 865188864. Its totient is φ = 85857408.

The previous prime is 334436387. The next prime is 334436471. The reversal of 334436466 is 664634433.

It is a super-2 number, since 2×3344364662 = 223695499581138312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2633295 + ... + 2633421.

It is an arithmetic number, because the mean of its divisors is an integer number (6008256).

Almost surely, 2334436466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334436466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432594432).

334436466 is an abundant number, since it is smaller than the sum of its proper divisors (530752398).

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

334436466 is a wasteful number, since it uses less digits than its factorization.

334436466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 205 counting only the distinct ones).

The product of its digits is 373248, while the sum is 39.

The square root of 334436466 is about 18287.6041623828. The cubic root of 334436466 is about 694.1253016175.

The spelling of 334436466 in words is "three hundred thirty-four million, four hundred thirty-six thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 53 78 91 98 106 127 147 159 169 182 254 273 294 318 338 371 381 507 546 637 689 742 762 889 1014 1113 1183 1274 1378 1651 1778 1911 2067 2226 2366 2597 2667 3302 3549 3822 4134 4823 4953 5194 5334 6223 6731 7098 7791 8281 8957 9646 9906 11557 12446 13462 14469 15582 16562 17914 18669 20193 21463 23114 24843 26871 28938 33761 34671 37338 40386 42926 47117 49686 53742 62699 64389 67522 69342 80899 87503 94234 101283 125398 128778 141351 150241 161798 175006 188097 202566 242697 262509 282702 300482 329819 376194 438893 450723 485394 525018 612521 659638 877786 901446 989457 1051687 1137539 1225042 1316679 1837563 1978914 2103374 2275078 2633358 3155061 3412617 3675126 4287647 6310122 6825234 7962773 8575294 12862941 15925546 23888319 25725882 47776638 55739411 111478822 167218233 334436466