Search a number
-
+
242453340 = 223252946447
BaseRepresentation
bin11100111001110…
…00101101011100
3121220012220110100
432130320231130
5444032001330
640020341100
76002551023
oct1634705534
9556186410
10242453340
11114949868
1269244790
133b2cc71c
14242b38ba
1516443060
hexe738b5c

242453340 has 72 divisors (see below), whose sum is σ = 760818240. Its totient is φ = 62423424.

The previous prime is 242453339. The next prime is 242453353. The reversal of 242453340 is 43354242.

242453340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18004 + ... + 28443.

It is an arithmetic number, because the mean of its divisors is an integer number (10566920).

Almost surely, 2242453340 is an apocalyptic number.

242453340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242453340 is an abundant number, since it is smaller than the sum of its proper divisors (518364900).

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

242453340 is a wasteful number, since it uses less digits than its factorization.

242453340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46491 (or 46486 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 242453340 is about 15570.9132680135. The cubic root of 242453340 is about 623.5568537577.

The spelling of 242453340 in words is "two hundred forty-two million, four hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 46447 92894 139341 185788 232235 278682 418023 464470 557364 696705 836046 928940 1346963 1393410 1672092 2090115 2693926 2786820 4040889 4180230 5387852 6734815 8081778 8360460 12122667 13469630 16163556 20204445 24245334 26939260 40408890 48490668 60613335 80817780 121226670 242453340