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354224444 = 227172967383
BaseRepresentation
bin10101000111010…
…000100100111100
3220200112110120212
4111013100210330
51211140140234
655052131552
711530600220
oct2507204474
9820473525
10354224444
11171a50082
129a766bb8
1358504c82
143508a780
15211705ce
hex151d093c

354224444 has 96 divisors (see below), whose sum is σ = 789626880. Its totient is φ = 135539712.

The previous prime is 354224419. The next prime is 354224483. The reversal of 354224444 is 444422453.

It is a super-3 number, since 3×3542244443 (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 354224444.

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 31 ways as a sum of consecutive naturals, for example, 924677 + ... + 925059.

It is an arithmetic number, because the mean of its divisors is an integer number (8225280).

Almost surely, 2354224444 is an apocalyptic number.

354224444 is a gapful number since it is divisible by the number (34) 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 354224444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394813440).

354224444 is an abundant number, since it is smaller than the sum of its proper divisors (435402436).

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

354224444 is a wasteful number, since it uses less digits than its factorization.

354224444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 505 counting only the distinct ones).

The product of its digits is 61440, while the sum is 32.

The square root of 354224444 is about 18820.8513091199. The cubic root of 354224444 is about 707.5538673832.

Adding to 354224444 its reverse (444422453), we get a palindrome (798646897).

The spelling of 354224444 in words is "three hundred fifty-four million, two hundred twenty-four thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 17 28 29 34 58 67 68 116 119 134 203 238 268 383 406 469 476 493 766 812 938 986 1139 1532 1876 1943 1972 2278 2681 3451 3886 4556 5362 6511 6902 7772 7973 10724 11107 13022 13601 13804 15946 22214 25661 26044 27202 31892 33031 44428 45577 51322 54404 66062 77749 91154 102644 132124 155498 179627 182308 188819 231217 310996 359254 377638 436237 462434 718508 744169 755276 872474 924868 1321733 1488338 1744948 2643466 2976676 3053659 5209183 5286932 6107318 10418366 12214636 12650873 20836732 25301746 50603492 88556111 177112222 354224444