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323130314034 = 232115373421807
BaseRepresentation
bin1001011001111000001…
…00010100110100110010
31010220001111200201120200
410230330010110310302
520243232330022114
6404235524020030
732226320231253
oct4547404246462
91126044621520
10323130314034
11115047702610
125275b831616
1324617bb6468
14118d5072b2a
158613160409
hex4b3c114d32

323130314034 has 96 divisors (see below), whose sum is σ = 788834951424. Its totient is φ = 94754499840.

The previous prime is 323130314021. The next prime is 323130314041. The reversal of 323130314034 is 430413031323.

323130314034 is a `hidden beast` number, since 3 + 2 + 313 + 0 + 314 + 0 + 34 = 666.

It is a super-2 number, since 2×3231303140342 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 323130313989 and 323130314007.

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 47 ways as a sum of consecutive naturals, for example, 555159 + ... + 976965.

It is an arithmetic number, because the mean of its divisors is an integer number (8217030744).

Almost surely, 2323130314034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323130314034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394417475712).

323130314034 is an abundant number, since it is smaller than the sum of its proper divisors (465704637390).

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

323130314034 is a wasteful number, since it uses less digits than its factorization.

323130314034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421952 (or 421949 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 323130314034 its reverse (430413031323), we get a palindrome (753543345357).

The spelling of 323130314034 in words is "three hundred twenty-three billion, one hundred thirty million, three hundred fourteen thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 73 99 106 146 159 198 219 318 438 477 583 657 803 954 1166 1314 1606 1749 2409 3498 3869 4818 5247 7227 7738 10494 11607 14454 23214 34821 42559 69642 85118 127677 255354 383031 421807 766062 843614 1265421 2530842 3796263 4639877 7592526 9279754 13919631 22355771 27839262 30791911 41758893 44711542 61583822 67067313 83517786 92375733 134134626 184751466 201201939 245913481 277127199 338711021 402403878 491826962 554254398 677422042 737740443 1016133063 1475480886 1631971283 2032266126 2213221329 3048399189 3263942566 4426442658 4895913849 6096798378 9791827698 14687741547 17951684113 29375483094 35903368226 53855052339 107710104678 161565157017 323130314034