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253340340 = 223511478167
BaseRepresentation
bin11110001100110…
…10101010110100
3122122201000121120
433012122222310
51004323342330
641045543540
76164233401
oct1706325264
9578630546
10253340340
11120005390
1270a14bb0
1340641c36
14259092a8
1517393c10
hexf19aab4

253340340 has 96 divisors (see below), whose sum is σ = 790401024. Its totient is φ = 60101760.

The previous prime is 253340323. The next prime is 253340363. The reversal of 253340340 is 43043352.

It is a self number, because there is not a number n which added to its sum of digits gives 253340340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26937 + ... + 35103.

It is an arithmetic number, because the mean of its divisors is an integer number (8233344).

Almost surely, 2253340340 is an apocalyptic number.

253340340 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 253340340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395200512).

253340340 is an abundant number, since it is smaller than the sum of its proper divisors (537060684).

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

253340340 is a wasteful number, since it uses less digits than its factorization.

253340340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8237 (or 8235 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 253340340 is about 15916.6686212913. The cubic root of 253340340 is about 632.7538306407.

Adding to 253340340 its reverse (43043352), we get a palindrome (296383692).

The spelling of 253340340 in words is "two hundred fifty-three million, three hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 47 55 60 66 94 110 132 141 165 188 220 235 282 330 470 517 564 660 705 940 1034 1410 1551 2068 2585 2820 3102 5170 6204 7755 8167 10340 15510 16334 24501 31020 32668 40835 49002 81670 89837 98004 122505 163340 179674 245010 269511 359348 383849 449185 490020 539022 767698 898370 1078044 1151547 1347555 1535396 1796740 1919245 2303094 2695110 3838490 4222339 4606188 5390220 5757735 7676980 8444678 11515470 12667017 16889356 21111695 23030940 25334034 42223390 50668068 63335085 84446780 126670170 253340340