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2320309680 = 243513743689
BaseRepresentation
bin1000101001001101…
…0001110110110000
312222201001221111120
42022103101312300
514222444402210
61022124142240
7111333210153
oct21223216660
95881057446
102320309680
11a90833007
12549097980
132ac936510
14180237c9a
15d8a84270
hex8a4d1db0

2320309680 has 80 divisors (see below), whose sum is σ = 7746275040. Its totient is φ = 571152384.

The previous prime is 2320309661. The next prime is 2320309687. The reversal of 2320309680 is 869030232.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×23203096802 = 10767674022203404800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2320309687) 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, 368725 + ... + 374964.

It is an arithmetic number, because the mean of its divisors is an integer number (96828438).

Almost surely, 22320309680 is an apocalyptic number.

2320309680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2320309680 is an abundant number, since it is smaller than the sum of its proper divisors (5425965360).

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

2320309680 is a wasteful number, since it uses less digits than its factorization.

2320309680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743718 (or 743712 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 2320309680 is about 48169.5928984250. The cubic root of 2320309680 is about 1323.8800894194.

The spelling of 2320309680 in words is "two billion, three hundred twenty million, three hundred nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 743689 1487378 2231067 2974756 3718445 4462134 5949512 7436890 8924268 9667957 11155335 11899024 14873780 17848536 19335914 22310670 29003871 29747560 35697072 38671828 44621340 48339785 58007742 59495120 77343656 89242680 96679570 116015484 145019355 154687312 178485360 193359140 232030968 290038710 386718280 464061936 580077420 773436560 1160154840 2320309680