Search a number
-
+
2314120344 = 233235383953
BaseRepresentation
bin1000100111101110…
…1010110010011000
312222021102111022220
42021323222302120
514214403322334
61021343344040
7111226461354
oct21173526230
95867374286
102314120344
11a88295958
12546bb2020
132ab57a2a3
1417d4a6464
15d8260449
hex89eeac98

2314120344 has 128 divisors (see below), whose sum is σ = 6231375360. Its totient is φ = 714441728.

The previous prime is 2314120343. The next prime is 2314120387. The reversal of 2314120344 is 4430214132.

2314120344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314120343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2427772 + ... + 2428724.

It is an arithmetic number, because the mean of its divisors is an integer number (48682620).

Almost surely, 22314120344 is an apocalyptic number.

2314120344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2314120344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3115687680).

2314120344 is an abundant number, since it is smaller than the sum of its proper divisors (3917255016).

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

2314120344 is a wasteful number, since it uses less digits than its factorization.

2314120344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2314120344 is about 48105.3047386668. The cubic root of 2314120344 is about 1322.7019082977.

Adding to 2314120344 its reverse (4430214132), we get a palindrome (6744334476).

The spelling of 2314120344 in words is "two billion, three hundred fourteen million, one hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 53 69 83 92 106 138 159 166 184 212 249 276 318 332 424 498 552 636 664 953 996 1219 1272 1906 1909 1992 2438 2859 3657 3812 3818 4399 4876 5718 5727 7314 7624 7636 8798 9752 11436 11454 13197 14628 15272 17596 21919 22872 22908 26394 29256 35192 43838 45816 50509 52788 65757 79099 87676 101018 101177 105576 131514 151527 158198 175352 202036 202354 237297 263028 303054 303531 316396 404072 404708 474594 526056 606108 607062 632792 809416 949188 1161707 1212216 1214124 1819277 1898376 2323414 2428248 3485121 3638554 4192247 4646828 5457831 6970242 7277108 8384494 9293656 10915662 12576741 13940484 14554216 16768988 21831324 25153482 27880968 33537976 43662648 50306964 96421681 100613928 192843362 289265043 385686724 578530086 771373448 1157060172 2314120344