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134302224 = 2437419749
BaseRepresentation
bin10000000000101…
…00101000010000
3100100201021000110
420000110220100
5233340132344
621154321320
73220356450
oct1000245020
9310637013
10134302224
11698a0281
1238b89240
1321a93a94
1413b9dd60
15bbcd3b9
hex8014a10

134302224 has 80 divisors (see below), whose sum is σ = 406224000. Its totient is φ = 37432320.

The previous prime is 134302187. The next prime is 134302229. The reversal of 134302224 is 422203431.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 134302224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134302229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8902 + ... + 18650.

It is an arithmetic number, because the mean of its divisors is an integer number (5077800).

Almost surely, 2134302224 is an apocalyptic number.

134302224 is a gapful number since it is divisible by the number (14) 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 134302224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203112000).

134302224 is an abundant number, since it is smaller than the sum of its proper divisors (271921776).

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

134302224 is a wasteful number, since it uses less digits than its factorization.

134302224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9808 (or 9802 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 134302224 is about 11588.8836390741. The cubic root of 134302224 is about 512.1074196814.

Adding to 134302224 its reverse (422203431), we get a palindrome (556505655).

The spelling of 134302224 in words is "one hundred thirty-four million, three hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 984 1148 1722 1968 2296 3444 4592 6888 9749 13776 19498 29247 38996 58494 68243 77992 116988 136486 155984 204729 233976 272972 399709 409458 467952 545944 799418 818916 1091888 1199127 1598836 1637832 2398254 2797963 3197672 3275664 4796508 5595926 6395344 8393889 9593016 11191852 16787778 19186032 22383704 33575556 44767408 67151112 134302224