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2340505552 = 2471129109601
BaseRepresentation
bin1000101110000001…
…0100011111010000
320001010002000000211
42023200110133100
514243132134202
61024125053504
7111666653230
oct21340243720
96033060024
102340505552
11aa1177510
125539b7294
132b3b87b38
14182bb3cc0
15da7231d7
hex8b8147d0

2340505552 has 160 divisors (see below), whose sum is σ = 5912121600. Its totient is φ = 870912000.

The previous prime is 2340505547. The next prime is 2340505561. The reversal of 2340505552 is 2555050432.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3894052 + ... + 3894652.

It is an arithmetic number, because the mean of its divisors is an integer number (36950760).

Almost surely, 22340505552 is an apocalyptic number.

2340505552 is a gapful number since it is divisible by the number (22) 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 2340505552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956060800).

2340505552 is an abundant number, since it is smaller than the sum of its proper divisors (3571616048).

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

2340505552 is a wasteful number, since it uses less digits than its factorization.

2340505552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 31.

The square root of 2340505552 is about 48378.7717082606. The cubic root of 2340505552 is about 1327.7099967949.

Adding to 2340505552 its reverse (2555050432), we get a palindrome (4895555984).

The spelling of 2340505552 in words is "two billion, three hundred forty million, five hundred five thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 44 56 58 77 88 109 112 116 154 176 203 218 232 308 319 406 436 464 601 616 638 763 812 872 1199 1202 1232 1276 1526 1624 1744 2233 2398 2404 2552 3052 3161 3248 4207 4466 4796 4808 5104 6104 6322 6611 8393 8414 8932 9592 9616 12208 12644 13222 16786 16828 17429 17864 19184 22127 25288 26444 33572 33656 34771 34858 35728 44254 46277 50576 52888 65509 67144 67312 69542 69716 88508 92554 105776 122003 131018 134288 139084 139432 177016 185108 191719 243397 244006 262036 278168 278864 354032 370216 383438 458563 486794 488012 524072 556336 720599 740432 766876 917126 973588 976024 1048144 1342033 1441198 1533752 1834252 1899761 1947176 1952048 2684066 2882396 3067504 3668504 3799522 3894352 5044193 5368132 5764792 7337008 7599044 10088386 10736264 11529584 13298327 15198088 20176772 20897371 21472528 26596654 30396176 40353544 41794742 53193308 80707088 83589484 106386616 146281597 167178968 212773232 292563194 334357936 585126388 1170252776 2340505552