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2348664552 = 2333131077817
BaseRepresentation
bin1000101111111101…
…1100011011101000
320001200102112002000
42023333130123220
514302224231202
61025020011000
7112126214343
oct21377343350
96050375060
102348664552
11aa583a493
12556690a60
132b5783750
14183cd945a
15db2d591c
hex8bfdc6e8

2348664552 has 128 divisors (see below), whose sum is σ = 7092489600. Its totient is φ = 715820544.

The previous prime is 2348664457. The next prime is 2348664553. The reversal of 2348664552 is 2554668432.

2348664552 is a `hidden beast` number, since 2 + 34 + 8 + 6 + 64 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2348664498 and 2348664507.

It is not an unprimeable number, because it can be changed into a prime (2348664553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296548 + ... + 304364.

It is an arithmetic number, because the mean of its divisors is an integer number (55410075).

Almost surely, 22348664552 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 2348664552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546244800).

2348664552 is an abundant number, since it is smaller than the sum of its proper divisors (4743825048).

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

2348664552 is a wasteful number, since it uses less digits than its factorization.

2348664552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7952 (or 7942 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The square root of 2348664552 is about 48463.0225223314. The cubic root of 2348664552 is about 1329.2510060984.

The spelling of 2348664552 in words is "two billion, three hundred forty-eight million, six hundred sixty-four thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 107 108 117 156 214 216 234 312 321 351 428 468 642 702 856 936 963 1284 1391 1404 1926 2568 2782 2808 2889 3852 4173 5564 5778 7704 7817 8346 11128 11556 12519 15634 16692 23112 23451 25038 31268 33384 37557 46902 50076 62536 70353 75114 93804 100152 101621 140706 150228 187608 203242 211059 281412 300456 304863 406484 422118 562824 609726 812968 836419 844236 914589 1219452 1672838 1688472 1829178 2438904 2509257 2743767 3345676 3658356 5018514 5487534 6691352 7316712 7527771 10037028 10873447 10975068 15055542 20074056 21746894 21950136 22583313 30111084 32620341 43493788 45166626 60222168 65240682 86987576 90333252 97861023 130481364 180666504 195722046 260962728 293583069 391444092 587166138 782888184 1174332276 2348664552