Search a number
-
+
343902490624 = 21274112172
BaseRepresentation
bin1010000000100100010…
…11111001000000000000
31012212200011012121222101
411000102023321000000
521113303014144444
6421553035520144
733563136640000
oct5002213710000
91185604177871
10343902490624
11122936a99300
12567982b9054
1326578551904
1412905b20000
158e2baa93d4
hex50122f9000

343902490624 has 585 divisors, whose sum is σ = 936785265521. Its totient is φ = 126106337280.

The previous prime is 343902490619. The next prime is 343902490639. The reversal of 343902490624 is 426094209343.

The square root of 343902490624 is 586432.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 267744153600 + 76158337024 = 517440^2 + 275968^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 20229558264 + ... + 20229558280.

Almost surely, 2343902490624 is an apocalyptic number.

343902490624 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

343902490624 is the 586432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343902490624

343902490624 is an abundant number, since it is smaller than the sum of its proper divisors (592882774897).

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

343902490624 is an frugal number, since it uses more digits than its factorization.

343902490624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 46.

Adding to 343902490624 its reverse (426094209343), we get a palindrome (769996699967).

The spelling of 343902490624 in words is "three hundred forty-three billion, nine hundred two million, four hundred ninety thousand, six hundred twenty-four".