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323463420 = 2232571715101
BaseRepresentation
bin10011010001111…
…010100011111100
3211112122122101200
4103101322203330
51130301312140
652032535500
711005252020
oct2321724374
9745578350
10323463420
1115664a945
12903b1590
1352024797
1430d60380
151d5e6030
hex1347a8fc

323463420 has 144 divisors (see below), whose sum is σ = 1187379648. Its totient is φ = 69580800.

The previous prime is 323463409. The next prime is 323463443. The reversal of 323463420 is 24364323.

It is a happy number.

323463420 is a `hidden beast` number, since 3 + 2 + 3 + 4 + 634 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13870 + ... + 28970.

It is an arithmetic number, because the mean of its divisors is an integer number (8245692).

Almost surely, 2323463420 is an apocalyptic number.

323463420 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 323463420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593689824).

323463420 is an abundant number, since it is smaller than the sum of its proper divisors (863916228).

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

323463420 is a wasteful number, since it uses less digits than its factorization.

323463420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15140 (or 15135 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 323463420 is about 17985.0888238007. The cubic root of 323463420 is about 686.4491812365.

The spelling of 323463420 in words is "three hundred twenty-three million, four hundred sixty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 2142 2380 3060 3570 4284 5355 7140 10710 15101 21420 30202 45303 60404 75505 90606 105707 135909 151010 181212 211414 226515 256717 271818 302020 317121 422828 453030 513434 528535 543636 634242 679545 770151 906060 951363 1026868 1057070 1268484 1283585 1359090 1540302 1585605 1797019 1902726 2114140 2310453 2567170 2718180 3080604 3171210 3594038 3805452 3850755 4620906 4756815 5134340 5391057 6342420 7188076 7701510 8985095 9241812 9513630 10782114 11552265 15403020 16173171 17970190 19027260 21564228 23104530 26955285 32346342 35940380 46209060 53910570 64692684 80865855 107821140 161731710 323463420