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2314108384 = 25723259331
BaseRepresentation
bin1000100111101110…
…0111110111100000
312222021101212220221
42021323213313200
514214402432014
61021343212424
7111226411450
oct21173476740
95867355827
102314108384
11a88287975
12546ba7114
132ab574a03
1417d4a1d60
15d825bb24
hex89ee7de0

2314108384 has 144 divisors (see below), whose sum is σ = 5551943040. Its totient is φ = 929744640.

The previous prime is 2314108373. The next prime is 2314108387. The reversal of 2314108384 is 4838014132.

It is a super-2 number, since 2×23141083842 = 10710195225798182912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314108387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6991099 + ... + 6991429.

It is an arithmetic number, because the mean of its divisors is an integer number (38555160).

Almost surely, 22314108384 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 2314108384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775971520).

2314108384 is an abundant number, since it is smaller than the sum of its proper divisors (3237834656).

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

2314108384 is a wasteful number, since it uses less digits than its factorization.

2314108384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 2314108384 is about 48105.1804278915. The cubic root of 2314108384 is about 1322.6996296000.

The spelling of 2314108384 in words is "two billion, three hundred fourteen million, one hundred eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 59 92 112 118 161 184 224 236 322 331 368 413 472 529 644 662 736 826 944 1058 1288 1324 1357 1652 1888 2116 2317 2576 2648 2714 3304 3703 4232 4634 5152 5296 5428 6608 7406 7613 8464 9268 9499 10592 10856 13216 14812 15226 16928 18536 18998 19529 21712 29624 30452 31211 37072 37996 39058 43424 53291 59248 60904 62422 74144 75992 78116 106582 118496 121808 124844 136703 151984 156232 175099 213164 218477 243616 249688 273406 303968 312464 350198 426328 436954 449167 499376 546812 624928 700396 852656 873908 898334 998752 1093624 1225693 1400792 1705312 1747816 1796668 2187248 2451386 2801584 3144169 3495632 3593336 4374496 4902772 5603168 6288338 6991264 7186672 9805544 10330841 12576676 14373344 19611088 20661682 25153352 39222176 41323364 50306704 72315887 82646728 100613408 144631774 165293456 289263548 330586912 578527096 1157054192 2314108384