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24068340 = 2234583179
BaseRepresentation
bin101101111010…
…0000011110100
31200021210120000
41123310003310
522130141330
62215511300
7411402042
oct133640364
950253500
1024068340
111264999a
128088530
134ca912a
1432a7392
1521a6560
hex16f40f4

24068340 has 120 divisors (see below), whose sum is σ = 76839840. Its totient is φ = 6305472.

The previous prime is 24068339. The next prime is 24068351. The reversal of 24068340 is 4386042.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 134371 + ... + 134549.

It is an arithmetic number, because the mean of its divisors is an integer number (640332).

Almost surely, 224068340 is an apocalyptic number.

24068340 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 24068340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38419920).

24068340 is an abundant number, since it is smaller than the sum of its proper divisors (52771500).

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

24068340 is a wasteful number, since it uses less digits than its factorization.

24068340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 24068340 is about 4905.9494493931. The cubic root of 24068340 is about 288.7234416457.

The spelling of 24068340 in words is "twenty-four million, sixty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 83 90 108 135 162 166 179 180 249 270 324 332 358 405 415 498 537 540 716 747 810 830 895 996 1074 1245 1494 1611 1620 1660 1790 2148 2241 2490 2685 2988 3222 3580 3735 4482 4833 4980 5370 6444 6723 7470 8055 8964 9666 10740 11205 13446 14499 14857 14940 16110 19332 22410 24165 26892 28998 29714 32220 33615 44571 44820 48330 57996 59428 67230 72495 74285 89142 96660 133713 134460 144990 148570 178284 222855 267426 289980 297140 401139 445710 534852 668565 802278 891420 1203417 1337130 1604556 2005695 2406834 2674260 4011390 4813668 6017085 8022780 12034170 24068340