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328242780 = 22345533823
BaseRepresentation
bin10011100100001…
…001011001011100
3211212122110110000
4103210021121130
51133012232110
652323214300
711064006015
oct2344113134
9755573400
10328242780
11159314728
1291b17390
1353008cc8
143184600c
151dc3c1c0
hex1390965c

328242780 has 120 divisors (see below), whose sum is σ = 1049412672. Its totient is φ = 85857408.

The previous prime is 328242767. The next prime is 328242781. The reversal of 328242780 is 87242823.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328242781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83949 + ... + 87771.

Almost surely, 2328242780 is an apocalyptic number.

328242780 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328242780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524706336).

328242780 is an abundant number, since it is smaller than the sum of its proper divisors (721169892).

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

328242780 is a wasteful number, since it uses less digits than its factorization.

328242780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3897 (or 3886 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 328242780 is about 18117.4716779136. The cubic root of 328242780 is about 689.8135602140.

The spelling of 328242780 in words is "three hundred twenty-eight million, two hundred forty-two thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 81 90 106 108 135 159 162 180 212 265 270 318 324 405 477 530 540 636 795 810 954 1060 1431 1590 1620 1908 2385 2862 3180 3823 4293 4770 5724 7155 7646 8586 9540 11469 14310 15292 17172 19115 21465 22938 28620 34407 38230 42930 45876 57345 68814 76460 85860 103221 114690 137628 172035 202619 206442 229380 309663 344070 405238 412884 516105 607857 619326 688140 810476 1013095 1032210 1215714 1238652 1548315 1823571 2026190 2064420 2431428 3039285 3096630 3647142 4052380 5470713 6078570 6193260 7294284 9117855 10941426 12157140 16412139 18235710 21882852 27353565 32824278 36471420 54707130 65648556 82060695 109414260 164121390 328242780