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3480266552 = 23721812271
BaseRepresentation
bin1100111101110000…
…1010011100111000
322222112201212012012
43033130022130320
524111422012202
61333202105052
7152146530500
oct31734123470
98875655165
103480266552
111526579854
1281164b188
1343604a629
14250302a00
15155810152
hexcf70a738

3480266552 has 72 divisors (see below), whose sum is σ = 7661224080. Its totient is φ = 1477828800.

The previous prime is 3480266527. The next prime is 3480266561. The reversal of 3480266552 is 2556620843.

It is a happy number.

It is a super-2 number, since 2×34802665522 = 24224510545939937408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12842177 + ... + 12842447.

It is an arithmetic number, because the mean of its divisors is an integer number (106405890).

Almost surely, 23480266552 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 3480266552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830612040).

3480266552 is an abundant number, since it is smaller than the sum of its proper divisors (4180957528).

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

3480266552 is a wasteful number, since it uses less digits than its factorization.

3480266552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

The square root of 3480266552 is about 58993.7840115380. The cubic root of 3480266552 is about 1515.4356601607.

The spelling of 3480266552 in words is "three billion, four hundred eighty million, two hundred sixty-six thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 181 196 271 362 392 542 724 1084 1267 1448 1897 2168 2534 3794 5068 7588 8869 10136 13279 15176 17738 26558 32761 35476 49051 53116 65522 70952 98102 106232 131044 196204 229327 262088 343357 392408 458654 686714 917308 1373428 1605289 1834616 2403499 2746856 3210578 4806998 6421156 8878231 9613996 12842312 17756462 19227992 35512924 62147617 71025848 124295234 248590468 435033319 497180936 870066638 1740133276 3480266552