Search a number
-
+
304210201332 = 2231912734930103
BaseRepresentation
bin1000110110101000101…
…01110100101011110100
31002002012221011102012210
410123110111310223310
514441010302420312
6351430252213420
730656420021652
oct4332425645364
91062187142183
10304210201332
11108018800934
124ab5b46a270
13228c11699bb
1410a1c371dd2
157da7105e3c
hex46d4574af4

304210201332 has 96 divisors (see below), whose sum is σ = 755249152000. Its totient is φ = 95033699712.

The previous prime is 304210201303. The next prime is 304210201343. The reversal of 304210201332 is 233102012403.

It is a junction number, because it is equal to n+sod(n) for n = 304210201299 and 304210201308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10090593 + ... + 10120695.

Almost surely, 2304210201332 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 304210201332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377624576000).

304210201332 is an abundant number, since it is smaller than the sum of its proper divisors (451038950668).

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

304210201332 is a wasteful number, since it uses less digits than its factorization.

304210201332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30605 (or 30603 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 304210201332 its reverse (233102012403), we get a palindrome (537312213735).

The spelling of 304210201332 in words is "three hundred four billion, two hundred ten million, two hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 127 228 254 349 381 508 698 762 1047 1396 1524 2094 2413 4188 4826 6631 7239 9652 13262 14478 19893 26524 28956 30103 39786 44323 60206 79572 88646 90309 120412 132969 177292 180618 265938 361236 531876 571957 842137 1143914 1684274 1715871 2287828 2526411 3368548 3431742 3823081 5052822 6863484 7646162 10105644 10505947 11469243 15292324 21011894 22938486 31517841 42023788 45876972 63035682 72638539 126071364 145277078 199612993 217915617 290554156 399225986 435831234 598838979 798451972 871662468 1197677958 1334255269 2395355916 2668510538 4002765807 5337021076 8005531614 16011063228 25350850111 50701700222 76052550333 101403400444 152105100666 304210201332