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1026413344 = 251119914653
BaseRepresentation
bin111101001011011…
…101001100100000
32122112101012102001
4331023131030200
54100230211334
6245503333344
734302240505
oct7513351440
92575335361
101026413344
114874245a0
122478b1254
13134857798
149a4654ac
156019c714
hex3d2dd320

1026413344 has 48 divisors (see below), whose sum is σ = 2215684800. Its totient is φ = 464175360.

The previous prime is 1026413329. The next prime is 1026413351. The reversal of 1026413344 is 4433146201.

1026413344 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 7 ways as a sum of consecutive naturals, for example, 62722 + ... + 77374.

It is an arithmetic number, because the mean of its divisors is an integer number (46160100).

Almost surely, 21026413344 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 1026413344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107842400).

1026413344 is an abundant number, since it is smaller than the sum of its proper divisors (1189271456).

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

1026413344 is a wasteful number, since it uses less digits than its factorization.

1026413344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14873 (or 14865 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 1026413344 is about 32037.6863084712. The cubic root of 1026413344 is about 1008.7280475551.

Adding to 1026413344 its reverse (4433146201), we get a palindrome (5459559545).

The spelling of 1026413344 in words is "one billion, twenty-six million, four hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 199 352 398 796 1592 2189 3184 4378 6368 8756 14653 17512 29306 35024 58612 70048 117224 161183 234448 322366 468896 644732 1289464 2578928 2915947 5157856 5831894 11663788 23327576 32075417 46655152 64150834 93310304 128301668 256603336 513206672 1026413344