Search a number
-
+
354798444 = 2237111329537
BaseRepresentation
bin10101001001011…
…100101101101100
3220201121121222010
4111021130231230
51211312022234
655112321220
711535510540
oct2511345554
9821547863
10354798444
11172302360
129a9a3210
1358676310
1435199a20
15212356e9
hex1525cb6c

354798444 has 96 divisors (see below), whose sum is σ = 1111574016. Its totient is φ = 85063680.

The previous prime is 354798421. The next prime is 354798463. The reversal of 354798444 is 444897453.

It is a super-3 number, since 3×3547984443 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 354798393 and 354798402.

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, 2757 + ... + 26780.

It is an arithmetic number, because the mean of its divisors is an integer number (11578896).

Almost surely, 2354798444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354798444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555787008).

354798444 is an abundant number, since it is smaller than the sum of its proper divisors (756775572).

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

354798444 is a wasteful number, since it uses less digits than its factorization.

354798444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29575 (or 29573 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The square root of 354798444 is about 18836.0941811194. The cubic root of 354798444 is about 707.9358443575.

Subtracting 354798444 from its reverse (444897453), we obtain a palindrome (90099009).

The spelling of 354798444 in words is "three hundred fifty-four million, seven hundred ninety-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012 29537 59074 88611 118148 177222 206759 324907 354444 383981 413518 620277 649814 767962 827036 974721 1151943 1240554 1299628 1535924 1949442 2274349 2303886 2481108 2687867 3898884 4223791 4548698 4607772 5375734 6823047 8063601 8447582 9097396 10751468 12671373 13646094 16127202 16895164 25342746 27292188 29566537 32254404 50685492 59133074 88699611 118266148 177399222 354798444