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321423390 = 23952371
BaseRepresentation
bin10011001010001…
…000100000011110
3211101211000000000
4103022020200132
51124241022030
651521115130
710652024301
oct2312104036
9741730000
10321423390
11155487172
128b788aa6
135178c072
143098cb38
151d341860
hex1328881e

321423390 has 160 divisors (see below), whose sum is σ = 918314496. Its totient is φ = 80831520.

The previous prime is 321423383. The next prime is 321423391. The reversal of 321423390 is 93324123.

It is a happy number.

321423390 is a `hidden beast` number, since 321 + 4 + 2 + 339 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321423391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4527055 + ... + 4527125.

Almost surely, 2321423390 is an apocalyptic number.

321423390 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 321423390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459157248).

321423390 is an abundant number, since it is smaller than the sum of its proper divisors (596891106).

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

321423390 is an frugal number, since it uses more digits than its factorization.

321423390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 321423390 is about 17928.2846362947. The cubic root of 321423390 is about 685.0030298053.

The spelling of 321423390 in words is "three hundred twenty-one million, four hundred twenty-three thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 71 81 90 115 135 138 142 162 207 213 230 243 270 345 355 405 414 426 486 621 639 690 710 729 810 1035 1065 1215 1242 1278 1458 1633 1863 1917 2070 2130 2187 2430 3105 3195 3266 3645 3726 3834 4374 4899 5589 5751 6210 6390 6561 7290 8165 9315 9585 9798 10935 11178 11502 13122 14697 16330 16767 17253 18630 19170 19683 21870 24495 27945 28755 29394 32805 33534 34506 39366 44091 48990 50301 51759 55890 57510 65610 73485 83835 86265 88182 98415 100602 103518 132273 146970 150903 155277 167670 172530 196830 220455 251505 258795 264546 301806 310554 396819 440910 452709 465831 503010 517590 661365 754515 776385 793638 905418 931662 1190457 1322730 1397493 1509030 1552770 1984095 2263545 2329155 2380914 2794986 3571371 3968190 4527090 4658310 5952285 6987465 7142742 10714113 11904570 13974930 17856855 21428226 32142339 35713710 53570565 64284678 107141130 160711695 321423390