Search a number
-
+
2405412312 = 2331922312071
BaseRepresentation
bin1000111101011111…
…1010110111011000
320012122012121100220
42033113322313120
514411241143222
61034404200040
7113415444612
oct21727726730
96178177326
102405412312
111024879966
12571699020
132c44622c4
1418b66bdb2
15e1294b5c
hex8f5fadd8

2405412312 has 96 divisors (see below), whose sum is σ = 6623182080. Its totient is φ = 726517440.

The previous prime is 2405412287. The next prime is 2405412371. The reversal of 2405412312 is 2132145042.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 193237 + ... + 205307.

It is an arithmetic number, because the mean of its divisors is an integer number (68991480).

Almost surely, 22405412312 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 2405412312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311591040).

2405412312 is an abundant number, since it is smaller than the sum of its proper divisors (4217769768).

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

2405412312 is a wasteful number, since it uses less digits than its factorization.

2405412312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12141 (or 12118 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2405412312 is about 49045.0029258843. The cubic root of 2405412312 is about 1339.8715834464.

Adding to 2405412312 its reverse (2132145042), we get a palindrome (4537557354).

The spelling of 2405412312 in words is "two billion, four hundred five million, four hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 184 228 276 361 437 456 552 722 874 1083 1311 1444 1748 2166 2622 2888 3496 4332 5244 8303 8664 10488 12071 16606 24142 24909 33212 36213 48284 49818 66424 72426 96568 99636 144852 199272 229349 277633 289704 458698 555266 688047 832899 917396 1110532 1376094 1665798 1834792 2221064 2752188 3331596 4357631 5275027 5504376 6663192 8715262 10550054 13072893 15825081 17430524 21100108 26145786 31650162 34861048 42200216 52291572 63300324 100225513 104583144 126600648 200451026 300676539 400902052 601353078 801804104 1202706156 2405412312