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348132945312 = 25321208794949
BaseRepresentation
bin1010001000011100101…
…01110010110110100000
31020021120222112222211100
411010032111302312200
521200434013222222
6423532521114400
734103026132065
oct5041625626640
91207528488740
10348132945312
11124707a76549
1257579028a00
1326aa0b31539
1412bc7902c6c
1590c81a24ac
hex510e572da0

348132945312 has 36 divisors (see below), whose sum is σ = 990003064050. Its totient is φ = 116044315008.

The previous prime is 348132945271. The next prime is 348132945313. The reversal of 348132945312 is 213549231843.

It is a happy number.

348132945312 is a `hidden beast` number, since 3 + 4 + 8 + 1 + 329 + 4 + 5 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 343954098576 + 4178846736 = 586476^2 + 64644^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3481329453122 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (348132945313) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 604397187 + ... + 604397762.

Almost surely, 2348132945312 is an apocalyptic number.

348132945312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

348132945312 is an abundant number, since it is smaller than the sum of its proper divisors (641870118738).

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

348132945312 is a wasteful number, since it uses less digits than its factorization.

348132945312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208794965 (or 1208794954 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 348132945312 in words is "three hundred forty-eight billion, one hundred thirty-two million, nine hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1208794949 2417589898 3626384847 4835179796 7252769694 9670359592 10879154541 14505539388 19340719184 21758309082 29011078776 38681438368 43516618164 58022157552 87033236328 116044315104 174066472656 348132945312