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325553940 = 2232531411423
BaseRepresentation
bin10011011001111…
…000111100010100
3211200120212001100
4103121320330110
51131320211230
652145430100
711032106565
oct2331707424
9750525040
10325553940
11157848548
129103b330
13525a718a
143134616c
151d8aa660
hex13678f14

325553940 has 144 divisors (see below), whose sum is σ = 1044965376. Its totient is φ = 81907200.

The previous prime is 325553933. The next prime is 325553941. The reversal of 325553940 is 49355523.

325553940 is a `hidden beast` number, since 32 + 55 + 539 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 325553895 and 325553904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325553941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228069 + ... + 229491.

It is an arithmetic number, because the mean of its divisors is an integer number (7256704).

Almost surely, 2325553940 is an apocalyptic number.

325553940 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 325553940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522482688).

325553940 is an abundant number, since it is smaller than the sum of its proper divisors (719411436).

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

325553940 is a wasteful number, since it uses less digits than its factorization.

325553940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 325553940 is about 18043.1133677090. The cubic root of 325553940 is about 687.9248301008.

The spelling of 325553940 in words is "three hundred twenty-five million, five hundred fifty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 41 45 60 62 82 90 93 123 124 155 164 180 186 205 246 279 310 369 372 410 465 492 558 615 620 738 820 930 1116 1230 1271 1395 1423 1476 1845 1860 2460 2542 2790 2846 3690 3813 4269 5084 5580 5692 6355 7115 7380 7626 8538 11439 12710 12807 14230 15252 17076 19065 21345 22878 25420 25614 28460 38130 42690 44113 45756 51228 57195 58343 64035 76260 85380 88226 114390 116686 128070 132339 175029 176452 220565 228780 233372 256140 264678 291715 350058 397017 441130 525087 529356 583430 661695 700116 794034 875145 882260 1050174 1166860 1323390 1588068 1750290 1808633 1985085 2100348 2625435 2646780 3500580 3617266 3970170 5250870 5425899 7234532 7940340 9043165 10501740 10851798 16277697 18086330 21703596 27129495 32555394 36172660 54258990 65110788 81388485 108517980 162776970 325553940