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1051144350 = 235271229431
BaseRepresentation
bin111110101001110…
…011000010011110
32201020220122222020
4332221303002132
54123043104400
6252145401010
735022402534
oct7651630236
92636818866
101051144350
1149a386343
12254039166
13139a06409
149d862154
15624352a0
hex3ea7309e

1051144350 has 96 divisors (see below), whose sum is σ = 2661258240. Its totient is φ = 274512000.

The previous prime is 1051144349. The next prime is 1051144387. The reversal of 1051144350 is 534411501.

It is a happy number.

It is a super-2 number, since 2×10511443502 = 2209808889073845000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1051144350.

It is a congruent number.

It is an unprimeable number.

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, 2438635 + ... + 2439065.

It is an arithmetic number, because the mean of its divisors is an integer number (27721440).

Almost surely, 21051144350 is an apocalyptic number.

1051144350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1051144350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330629120).

1051144350 is an abundant number, since it is smaller than the sum of its proper divisors (1610113890).

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

1051144350 is a wasteful number, since it uses less digits than its factorization.

1051144350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1051144350 is about 32421.3563874185. The cubic root of 1051144350 is about 1016.7654650321.

Adding to 1051144350 its reverse (534411501), we get a palindrome (1585555851).

The spelling of 1051144350 in words is "one billion, fifty-one million, one hundred forty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 71 75 142 150 213 229 355 426 431 458 687 710 862 1065 1145 1293 1374 1775 2130 2155 2290 2586 3435 3550 4310 5325 5725 6465 6870 10650 10775 11450 12930 16259 17175 21550 30601 32325 32518 34350 48777 61202 64650 81295 91803 97554 98699 153005 162590 183606 197398 243885 296097 306010 406475 459015 487770 493495 592194 765025 812950 918030 986990 1219425 1480485 1530050 2295075 2438850 2467475 2960970 4590150 4934950 7007629 7402425 14015258 14804850 21022887 35038145 42045774 70076290 105114435 175190725 210228870 350381450 525572175 1051144350