Search a number
-
+
514938330 = 233517432609
BaseRepresentation
bin11110101100010…
…101010111011010
31022212221120121000
4132230111113122
52023311011310
6123032525430
715521621634
oct3654252732
91285846530
10514938330
1124473a875
12124550876
13828b564a
144c563a54
15303194c0
hex1eb155da

514938330 has 128 divisors (see below), whose sum is σ = 1488326400. Its totient is φ = 126185472.

The previous prime is 514938293. The next prime is 514938367. The reversal of 514938330 is 33839415.

It is an interprime number because it is at equal distance from previous prime (514938293) and next prime (514938367).

It is a super-2 number, since 2×5149383302 = 530322967406377800, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 196066 + ... + 198674.

It is an arithmetic number, because the mean of its divisors is an integer number (11627550).

Almost surely, 2514938330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514938330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744163200).

514938330 is an abundant number, since it is smaller than the sum of its proper divisors (973388070).

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

514938330 is a wasteful number, since it uses less digits than its factorization.

514938330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 514938330 is about 22692.2526426972. The cubic root of 514938330 is about 801.5274619273.

The spelling of 514938330 in words is "five hundred fourteen million, nine hundred thirty-eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 43 45 51 54 85 86 90 102 129 135 153 170 215 255 258 270 306 387 430 459 510 645 731 765 774 918 1161 1290 1462 1530 1935 2193 2295 2322 2609 3655 3870 4386 4590 5218 5805 6579 7310 7827 10965 11610 13045 13158 15654 19737 21930 23481 26090 32895 39135 39474 44353 46962 65790 70443 78270 88706 98685 112187 117405 133059 140886 197370 221765 224374 234810 266118 336561 352215 399177 443530 560935 665295 673122 704430 798354 1009683 1121870 1197531 1330590 1682805 1907179 1995885 2019366 2395062 3029049 3365610 3814358 3991770 5048415 5721537 5987655 6058098 9535895 10096830 11443074 11975310 15145245 17164611 19071790 28607685 30290490 34329222 51493833 57215370 85823055 102987666 171646110 257469165 514938330