Search a number
-
+
2314042632 = 2332112921771
BaseRepresentation
bin1000100111101101…
…0111110100001000
312222021021112201200
42021323113310020
514214343331012
61021341544200
7111226015656
oct21173276410
95867245650
102314042632
11a88242530
12546b75060
132ab550ac5
1417d485dd6
15d82473dc
hex89ed7d08

2314042632 has 48 divisors (see below), whose sum is σ = 6836946480. Its totient is φ = 701224800.

The previous prime is 2314042597. The next prime is 2314042651. The reversal of 2314042632 is 2362404132.

2314042632 is a `hidden beast` number, since 23 + 1 + 4 + 0 + 4 + 2 + 632 = 666.

2314042632 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2314042596 and 2314042605.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1460094 + ... + 1461677.

It is an arithmetic number, because the mean of its divisors is an integer number (142436385).

Almost surely, 22314042632 is an apocalyptic number.

2314042632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2314042632 is an abundant number, since it is smaller than the sum of its proper divisors (4522903848).

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

2314042632 is a wasteful number, since it uses less digits than its factorization.

2314042632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2921794 (or 2921787 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2314042632 is about 48104.4970039185. The cubic root of 2314042632 is about 1322.6871019572.

Adding to 2314042632 its reverse (2362404132), we get a palindrome (4676446764).

The spelling of 2314042632 in words is "two billion, three hundred fourteen million, forty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 2921771 5843542 8765313 11687084 17530626 23374168 26295939 32139481 35061252 52591878 64278962 70122504 96418443 105183756 128557924 192836886 210367512 257115848 289255329 385673772 578510658 771347544 1157021316 2314042632