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1034241444 = 2232175928643
BaseRepresentation
bin111101101001010…
…100010110100100
32200002002220112200
4331221110112210
54104231211234
6250343214500
734425623115
oct7551242644
92602086480
101034241444
114908909a5
1224a447430
131363688b2
149b50220c
1560be6d99
hex3da545a4

1034241444 has 72 divisors (see below), whose sum is σ = 2815132320. Its totient is φ = 318957312.

The previous prime is 1034241401. The next prime is 1034241491. The reversal of 1034241444 is 4441424301.

1034241444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21787 + ... + 50429.

It is an arithmetic number, because the mean of its divisors is an integer number (39099060).

Almost surely, 21034241444 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 1034241444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407566160).

1034241444 is an abundant number, since it is smaller than the sum of its proper divisors (1780890876).

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

1034241444 is a wasteful number, since it uses less digits than its factorization.

1034241444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28729 (or 28724 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 1034241444 is about 32159.6244381056. The cubic root of 1034241444 is about 1011.2859625407.

Adding to 1034241444 its reverse (4441424301), we get a palindrome (5475665745).

The spelling of 1034241444 in words is "one billion, thirty-four million, two hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 59 68 102 118 153 177 204 236 306 354 531 612 708 1003 1062 2006 2124 3009 4012 6018 9027 12036 18054 28643 36108 57286 85929 114572 171858 257787 343716 486931 515574 973862 1031148 1460793 1689937 1947724 2921586 3379874 4382379 5069811 5843172 6759748 8764758 10139622 15209433 17529516 20279244 28728929 30418866 57457858 60837732 86186787 114915716 172373574 258560361 344747148 517120722 1034241444