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23384340 = 22325767277
BaseRepresentation
bin101100100110…
…1000100010100
31122000001021200
41121031010110
521441244330
62153112500
7402522630
oct131150424
948001250
1023384340
1112222001
1279b8730
134ac99b5
143169dc0
1520bda60
hex164d114

23384340 has 144 divisors (see below), whose sum is σ = 82572672. Its totient is φ = 5246208.

The previous prime is 23384329. The next prime is 23384351. The reversal of 23384340 is 4348332.

It is an interprime number because it is at equal distance from previous prime (23384329) and next prime (23384351).

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, 84282 + ... + 84558.

Almost surely, 223384340 is an apocalyptic number.

23384340 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 23384340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41286336).

23384340 is an abundant number, since it is smaller than the sum of its proper divisors (59188332).

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

23384340 is a wasteful number, since it uses less digits than its factorization.

23384340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 23384340 is about 4835.7357247889. The cubic root of 23384340 is about 285.9620305928.

The spelling of 23384340 in words is "twenty-three million, three hundred eighty-four 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 67 70 84 90 105 126 134 140 180 201 210 252 268 277 315 335 402 420 469 554 603 630 670 804 831 938 1005 1108 1206 1260 1340 1385 1407 1662 1876 1939 2010 2345 2412 2493 2770 2814 3015 3324 3878 4020 4155 4221 4690 4986 5540 5628 5817 6030 7035 7756 8310 8442 9380 9695 9972 11634 12060 12465 14070 16620 16884 17451 18559 19390 21105 23268 24930 28140 29085 34902 37118 38780 42210 49860 55677 58170 69804 74236 84420 87255 92795 111354 116340 129913 167031 174510 185590 222708 259826 278385 334062 349020 371180 389739 519652 556770 649565 668124 779478 835155 1113540 1169217 1299130 1558956 1670310 1948695 2338434 2598260 3340620 3897390 4676868 5846085 7794780 11692170 23384340