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1140424344 = 233297283577
BaseRepresentation
bin100001111111001…
…0111111010011000
32221110220120002200
41003332113322120
54313422034334
6305055130200
740155306213
oct10376277230
92843816080
101140424344
11535815764
12279b13960
13152365707
14ab66277a
156a1bd799
hex43f97e98

1140424344 has 96 divisors (see below), whose sum is σ = 3136944720. Its totient is φ = 374243328.

The previous prime is 1140424339. The next prime is 1140424357. The reversal of 1140424344 is 4434240411.

1140424344 is a `hidden beast` number, since 11 + 404 + 243 + 4 + 4 = 666.

It is a congruent number.

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, 1976184 + ... + 1976760.

Almost surely, 21140424344 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 1140424344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568472360).

1140424344 is an abundant number, since it is smaller than the sum of its proper divisors (1996520376).

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

1140424344 is a wasteful number, since it uses less digits than its factorization.

1140424344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 962 counting only the distinct ones).

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

The square root of 1140424344 is about 33770.1694399066. The cubic root of 1140424344 is about 1044.7735272293.

Adding to 1140424344 its reverse (4434240411), we get a palindrome (5574664755).

The spelling of 1140424344 in words is "one billion, one hundred forty million, four hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 283 291 388 566 577 582 776 849 873 1132 1154 1164 1698 1731 1746 2264 2308 2328 2547 3396 3462 3492 4616 5094 5193 6792 6924 6984 10188 10386 13848 20376 20772 27451 41544 54902 55969 82353 109804 111938 163291 164706 167907 219608 223876 247059 326582 329412 335814 447752 489873 494118 503721 653164 658824 671628 979746 988236 1007442 1306328 1343256 1469619 1959492 1976472 2014884 2939238 3918984 4029768 5878476 11756952 15839227 31678454 47517681 63356908 95035362 126713816 142553043 190070724 285106086 380141448 570212172 1140424344