Search a number
-
+
349926822 = 232731101887
BaseRepresentation
bin10100110110110…
…111010110100110
3220101110010100200
4110312313112212
51204040124242
654420051330
711446220550
oct2466672646
9811403320
10349926822
1116a585223
1299233b46
135765babb
143468c4d0
1520ac204c
hex14db75a6

349926822 has 96 divisors (see below), whose sum is σ = 904310784. Its totient is φ = 95688000.

The previous prime is 349926809. The next prime is 349926823. The reversal of 349926822 is 228629943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349926823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394063 + ... + 394949.

It is an arithmetic number, because the mean of its divisors is an integer number (9419904).

Almost surely, 2349926822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349926822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452155392).

349926822 is an abundant number, since it is smaller than the sum of its proper divisors (554383962).

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

349926822 is a wasteful number, since it uses less digits than its factorization.

349926822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1031 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 349926822 is about 18706.3310673152. The cubic root of 349926822 is about 704.6807548091.

It can be divided in two parts, 34992 and 6822, that added together give a palindrome (41814).

The spelling of 349926822 in words is "three hundred forty-nine million, nine hundred twenty-six thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 101 126 186 202 217 279 303 434 558 606 651 707 887 909 1302 1414 1774 1818 1953 2121 2661 3131 3906 4242 5322 6209 6262 6363 7983 9393 12418 12726 15966 18627 18786 21917 27497 28179 37254 43834 54994 55881 56358 65751 82491 89587 111762 131502 164982 179174 192479 197253 247473 268761 384958 394506 494946 537522 577437 627109 806283 1154874 1254218 1612566 1732311 1881327 2777197 3464622 3762654 5554394 5643981 8331591 11287962 16663182 19440379 24994773 38880758 49989546 58321137 116642274 174963411 349926822