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1143045344 = 25725991217
BaseRepresentation
bin100010000100001…
…0111110011100000
32221122211201102202
41010020113303200
54320104422334
6305231232332
740216503500
oct10410276340
92848751382
101143045344
11537245981
1227a9786a8
13152a726bc
14abb45a00
156a53a17e
hex44217ce0

1143045344 has 72 divisors (see below), whose sum is σ = 2624302800. Its totient is φ = 488656896.

The previous prime is 1143045341. The next prime is 1143045367. The reversal of 1143045344 is 4435403411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143045341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 938624 + ... + 939840.

It is an arithmetic number, because the mean of its divisors is an integer number (36448650).

Almost surely, 21143045344 is an apocalyptic number.

1143045344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1143045344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312151400).

1143045344 is an abundant number, since it is smaller than the sum of its proper divisors (1481257456).

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

1143045344 is a wasteful number, since it uses less digits than its factorization.

1143045344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1840 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 1143045344 is about 33808.9536069959. The cubic root of 1143045344 is about 1045.5733044592.

Adding to 1143045344 its reverse (4435403411), we get a palindrome (5578448755).

The spelling of 1143045344 in words is "one billion, one hundred forty-three million, forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 599 784 1198 1217 1568 2396 2434 4193 4792 4868 8386 8519 9584 9736 16772 17038 19168 19472 29351 33544 34076 38944 58702 59633 67088 68152 117404 119266 134176 136304 234808 238532 272608 469616 477064 728983 939232 954128 1457966 1908256 2915932 5102881 5831864 10205762 11663728 20411524 23327456 35720167 40823048 71440334 81646096 142880668 163292192 285761336 571522672 1143045344