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354224104 = 2313172331281
BaseRepresentation
bin10101000111010…
…000011111101000
3220200112110010021
4111013100133220
51211140132404
655052130224
711530566223
oct2507203750
9820473107
10354224104
11171a4a8a3
129a766974
1358504a80
143508a5ba
1521170454
hex151d07e8

354224104 has 128 divisors (see below), whose sum is σ = 818657280. Its totient is φ = 141926400.

The previous prime is 354224093. The next prime is 354224111. The reversal of 354224104 is 401422453.

It is a happy number.

It is a super-3 number, since 3×3542241043 (a number of 27 digits) contains 333 as substring.

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, 1260444 + ... + 1260724.

It is an arithmetic number, because the mean of its divisors is an integer number (6395760).

Almost surely, 2354224104 is an apocalyptic number.

354224104 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 354224104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409328640).

354224104 is an abundant number, since it is smaller than the sum of its proper divisors (464433176).

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

354224104 is a wasteful number, since it uses less digits than its factorization.

354224104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 354224104 is about 18820.8422765826. The cubic root of 354224104 is about 707.5536410028.

Adding to 354224104 its reverse (401422453), we get a palindrome (755646557).

The spelling of 354224104 in words is "three hundred fifty-four million, two hundred twenty-four thousand, one hundred four".

Divisors: 1 2 4 8 13 17 23 26 31 34 46 52 62 68 92 104 124 136 184 221 248 281 299 391 403 442 527 562 598 713 782 806 884 1054 1124 1196 1426 1564 1612 1768 2108 2248 2392 2852 3128 3224 3653 4216 4777 5083 5704 6463 6851 7306 8711 9269 9554 10166 12121 12926 13702 14612 17422 18538 19108 20332 24242 25852 27404 29224 34844 37076 38216 40664 48484 51704 54808 62101 69688 74152 84019 96968 109871 113243 124202 148087 157573 168038 200353 219742 226486 248404 296174 315146 336076 400706 439484 452972 496808 592348 630292 672152 801412 878968 905944 1184696 1260584 1428323 1602824 1925131 2604589 2856646 3406001 3850262 5209178 5713292 6812002 7700524 10418356 11426584 13624004 15401048 20836712 27248008 44278013 88556026 177112052 354224104