Search a number
-
+
2154304431 = 341031491733
BaseRepresentation
bin1000000001101000…
…0001001110101111
312120010201000010000
42000122001032233
513403000220211
6553434115343
7104246166636
oct20032011657
95503630100
102154304431
11a06059894
1250157bb53
13284422566
1416618451d
15c91e2656
hex806813af

2154304431 has 40 divisors (see below), whose sum is σ = 3273098400. Its totient is φ = 1411898688.

The previous prime is 2154304423. The next prime is 2154304441. The reversal of 2154304431 is 1344034512.

It is a happy number.

2154304431 is a `hidden beast` number, since 215 + 4 + 3 + 0 + 443 + 1 = 666.

It is not a de Polignac number, because 2154304431 - 23 = 2154304423 is a prime.

It is a super-2 number, since 2×21543044312 = 9282055162852467522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2154304395 and 2154304404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154304441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1242241 + ... + 1243973.

It is an arithmetic number, because the mean of its divisors is an integer number (81827460).

Almost surely, 22154304431 is an apocalyptic number.

2154304431 is a deficient number, since it is larger than the sum of its proper divisors (1118793969).

2154304431 is a wasteful number, since it uses less digits than its factorization.

2154304431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2154304431 is about 46414.4851420330. The cubic root of 2154304431 is about 1291.5236350776.

Adding to 2154304431 its reverse (1344034512), we get a palindrome (3498338943).

The spelling of 2154304431 in words is "two billion, one hundred fifty-four million, three hundred four thousand, four hundred thirty-one".

Divisors: 1 3 9 27 81 103 149 309 447 927 1341 1733 2781 4023 5199 8343 12069 15347 15597 46041 46791 138123 140373 178499 258217 414369 535497 774651 1243107 1606491 2323953 4819473 6971859 14458419 20915577 26596351 79789053 239367159 718101477 2154304431