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332321130 = 2345537741
BaseRepresentation
bin10011110011101…
…101000101101010
3212011022122220000
4103303231011222
51140033234010
652550443430
711143453161
oct2363550552
9764278800
10332321130
1116064a869
1293363576
1353b0642b
14321c83d8
151e2957c0
hex13ced16a

332321130 has 80 divisors (see below), whose sum is σ = 910552104. Its totient is φ = 86935680.

The previous prime is 332321111. The next prime is 332321137. The reversal of 332321130 is 31123233.

332321130 is a `hidden beast` number, since 332 + 321 + 13 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 254051721 + 78269409 = 15939^2 + 8847^2 .

It is a super-3 number, since 3×3323211303 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (332321137) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39060 + ... + 46800.

Almost surely, 2332321130 is an apocalyptic number.

332321130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 332321130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455276052).

332321130 is an abundant number, since it is smaller than the sum of its proper divisors (578230974).

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

332321130 is a wasteful number, since it uses less digits than its factorization.

332321130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7813 (or 7804 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 332321130 is about 18229.6771776134. The cubic root of 332321130 is about 692.6587401695.

Adding to 332321130 its reverse (31123233), we get a palindrome (363444363).

The spelling of 332321130 in words is "three hundred thirty-two million, three hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 81 90 106 135 159 162 265 270 318 405 477 530 795 810 954 1431 1590 2385 2862 4293 4770 7155 7741 8586 14310 15482 21465 23223 38705 42930 46446 69669 77410 116115 139338 209007 232230 348345 410273 418014 627021 696690 820546 1045035 1230819 1254042 2051365 2090070 2461638 3135105 3692457 4102730 6154095 6270210 7384914 11077371 12308190 18462285 22154742 33232113 36924570 55386855 66464226 110773710 166160565 332321130