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2314005320 = 2351117309359
BaseRepresentation
bin1000100111101100…
…1110101101001000
312222021012122112202
42021323032231020
514214341132240
61021341055332
7111225502124
oct21173165510
95867178482
102314005320
11a882174a0
12546b57548
132ab539b23
1417d476584
15d823b315
hex89eceb48

2314005320 has 64 divisors (see below), whose sum is σ = 6013958400. Its totient is φ = 791956480.

The previous prime is 2314005277. The next prime is 2314005329. The reversal of 2314005320 is 235004132.

It is a happy number.

2314005320 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 2314005292 and 2314005301.

It is not an unprimeable number, because it can be changed into a prime (2314005329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147200 + ... + 162159.

It is an arithmetic number, because the mean of its divisors is an integer number (93968100).

Almost surely, 22314005320 is an apocalyptic number.

2314005320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2314005320 is an abundant number, since it is smaller than the sum of its proper divisors (3699953080).

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

2314005320 is a wasteful number, since it uses less digits than its factorization.

2314005320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309398 (or 309394 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2314005320 is about 48104.1091799859. The cubic root of 2314005320 is about 1322.6799928450.

Adding to 2314005320 its reverse (235004132), we get a palindrome (2549009452).

The spelling of 2314005320 in words is "two billion, three hundred fourteen million, five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 7480 309359 618718 1237436 1546795 2474872 3093590 3402949 5259103 6187180 6805898 10518206 12374360 13611796 17014745 21036412 26295515 27223592 34029490 42072824 52591030 57850133 68058980 105182060 115700266 136117960 210364120 231400532 289250665 462801064 578501330 1157002660 2314005320