Search a number
-
+
354214344 = 233112714951
BaseRepresentation
bin10101000111001…
…110000111001000
3220200111221201210
4111013032013020
51211134324334
655052013120
711530525611
oct2507160710
9820457653
10354214344
11171a43530
129a7611a0
13585004b3
1435086c08
152116c5e9
hex151ce1c8

354214344 has 64 divisors (see below), whose sum is σ = 969799680. Its totient is φ = 106920000.

The previous prime is 354214331. The next prime is 354214361. The reversal of 354214344 is 443412453.

It is a super-3 number, since 3×3542143443 (a number of 27 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 69069 + ... + 74019.

It is an arithmetic number, because the mean of its divisors is an integer number (15153120).

Almost surely, 2354214344 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 354214344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484899840).

354214344 is an abundant number, since it is smaller than the sum of its proper divisors (615585336).

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

354214344 is a wasteful number, since it uses less digits than its factorization.

354214344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5242 (or 5238 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 354214344 is about 18820.5829877823. The cubic root of 354214344 is about 707.5471424925.

Adding to 354214344 its reverse (443412453), we get a palindrome (797626797).

The spelling of 354214344 in words is "three hundred fifty-four million, two hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 271 542 813 1084 1626 2168 2981 3252 4951 5962 6504 8943 9902 11924 14853 17886 19804 23848 29706 35772 39608 54461 59412 71544 108922 118824 163383 217844 326766 435688 653532 1307064 1341721 2683442 4025163 5366884 8050326 10733768 14758931 16100652 29517862 32201304 44276793 59035724 88553586 118071448 177107172 354214344