Search a number
-
+
354324048 = 243132311409
BaseRepresentation
bin10101000111101…
…000111001010000
3220200201112012220
4111013220321100
51211201332143
655054221040
711531463501
oct2507507120
9820645186
10354324048
111720089a1
129a7b4780
135853b400
14350b4ba8
152118ed83
hex151e8e50

354324048 has 120 divisors (see below), whose sum is σ = 1023863040. Its totient is φ = 105431040.

The previous prime is 354324007. The next prime is 354324049. The reversal of 354324048 is 840423453.

It is a super-2 number, since 2×3543240482 = 251091061982212608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354324049) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 250768 + ... + 252176.

It is an arithmetic number, because the mean of its divisors is an integer number (8532192).

Almost surely, 2354324048 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 354324048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511931520).

354324048 is an abundant number, since it is smaller than the sum of its proper divisors (669538992).

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

354324048 is a wasteful number, since it uses less digits than its factorization.

354324048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 354324048 is about 18823.4972308548. The cubic root of 354324048 is about 707.6201799448.

The spelling of 354324048 in words is "three hundred fifty-four million, three hundred twenty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 169 186 208 248 312 338 372 403 496 507 624 676 744 806 1014 1209 1352 1409 1488 1612 2028 2418 2704 2818 3224 4056 4227 4836 5239 5636 6448 8112 8454 9672 10478 11272 15717 16908 18317 19344 20956 22544 31434 33816 36634 41912 43679 54951 62868 67632 73268 83824 87358 109902 125736 131037 146536 174716 219804 238121 251472 262074 293072 349432 439608 476242 524148 567827 698864 714363 879216 952484 1048296 1135654 1428726 1703481 1904968 2096592 2271308 2857452 3406962 3809936 4542616 5714904 6813924 7381751 9085232 11429808 13627848 14763502 22145253 27255696 29527004 44290506 59054008 88581012 118108016 177162024 354324048