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23321340 = 22325783223
BaseRepresentation
bin101100011110…
…1101011111100
31121212211212100
41120331223330
521432240330
62151505100
7402141150
oct130755374
947784770
1023321340
1112189739
127988190
134aa7113
143151060
1520aa060
hex163dafc

23321340 has 144 divisors (see below), whose sum is σ = 82188288. Its totient is φ = 5242752.

The previous prime is 23321339. The next prime is 23321377. The reversal of 23321340 is 4312332.

23321340 is a `hidden beast` number, since 2 + 3 + 321 + 340 = 666.

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

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, 104469 + ... + 104691.

It is an arithmetic number, because the mean of its divisors is an integer number (570752).

Almost surely, 223321340 is an apocalyptic number.

23321340 is a gapful number since it is divisible by the number (20) 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 23321340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41094144).

23321340 is an abundant number, since it is smaller than the sum of its proper divisors (58866948).

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

23321340 is a wasteful number, since it uses less digits than its factorization.

23321340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 23321340 is about 4829.2173278907. The cubic root of 23321340 is about 285.7049951741.

Adding to 23321340 its reverse (4312332), we get a palindrome (27633672).

The spelling of 23321340 in words is "twenty-three million, three hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 83 84 90 105 126 140 166 180 210 223 249 252 315 332 415 420 446 498 581 630 669 747 830 892 996 1115 1162 1245 1260 1338 1494 1561 1660 1743 2007 2230 2324 2490 2676 2905 2988 3122 3345 3486 3735 4014 4460 4683 4980 5229 5810 6244 6690 6972 7470 7805 8028 8715 9366 10035 10458 11620 13380 14049 14940 15610 17430 18509 18732 20070 20916 23415 26145 28098 31220 34860 37018 40140 46830 52290 55527 56196 70245 74036 92545 93660 104580 111054 129563 140490 166581 185090 222108 259126 277635 280980 333162 370180 388689 518252 555270 647815 666324 777378 832905 1110540 1166067 1295630 1554756 1665810 1943445 2332134 2591260 3331620 3886890 4664268 5830335 7773780 11660670 23321340