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2345342688 = 25351323201
BaseRepresentation
bin1000101111001011…
…0001011011100000
320001110011202100000
42023302301123200
514300401431223
61024420500000
7112056040533
oct21362613340
96043152300
102345342688
11aa3980747
1255554a600
132b4b8c750
141836b2a1a
15dad7b543
hex8bcb16e0

2345342688 has 144 divisors (see below), whose sum is σ = 7448955696. Its totient is φ = 721612800.

The previous prime is 2345342677. The next prime is 2345342693. The reversal of 2345342688 is 8862435432.

2345342688 is a `hidden beast` number, since 2 + 34 + 534 + 2 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89488 + ... + 112688.

It is an arithmetic number, because the mean of its divisors is an integer number (51728859).

Almost surely, 22345342688 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 2345342688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3724477848).

2345342688 is an abundant number, since it is smaller than the sum of its proper divisors (5103613008).

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

2345342688 is a wasteful number, since it uses less digits than its factorization.

2345342688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23239 (or 23219 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 2345342688 is about 48428.7382449719. The cubic root of 2345342688 is about 1328.6240293133.

The spelling of 2345342688 in words is "two billion, three hundred forty-five million, three hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 243 288 312 324 351 416 432 468 486 624 648 702 864 936 972 1053 1248 1296 1404 1872 1944 2106 2592 2808 3159 3744 3888 4212 5616 6318 7776 8424 11232 12636 16848 23201 25272 33696 46402 50544 69603 92804 101088 139206 185608 208809 278412 301613 371216 417618 556824 603226 626427 742432 835236 904839 1113648 1206452 1252854 1670472 1809678 1879281 2227296 2412904 2505708 2714517 3340944 3619356 3758562 4825808 5011416 5429034 5637843 6681888 7238712 7517124 8143551 9651616 10022832 10858068 11275686 14477424 15034248 16287102 20045664 21716136 22551372 24430653 28954848 30068496 32574204 43432272 45102744 48861306 60136992 65148408 73291959 86864544 90205488 97722612 130296816 146583918 180410976 195445224 260593632 293167836 390890448 586335672 781780896 1172671344 2345342688