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1101340464 = 243722320359
BaseRepresentation
bin100000110100101…
…0001111100110000
32211202100220002120
41001221101330300
54223420343324
6301141314240
736202145100
oct10151217460
92752326076
101101340464
11515750434
12268a05980
1314722cb63
14a63ab200
1566a4d179
hex41a51f30

1101340464 has 120 divisors (see below), whose sum is σ = 3453707520. Its totient is φ = 300972672.

The previous prime is 1101340447. The next prime is 1101340489. The reversal of 1101340464 is 4640431011.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 43917 + ... + 64275.

It is an arithmetic number, because the mean of its divisors is an integer number (28780896).

Almost surely, 21101340464 is an apocalyptic number.

1101340464 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 1101340464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726853760).

1101340464 is an abundant number, since it is smaller than the sum of its proper divisors (2352367056).

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

1101340464 is a wasteful number, since it uses less digits than its factorization.

1101340464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20407 (or 20394 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1101340464 is about 33186.4500059889. The cubic root of 1101340464 is about 1032.6992586801.

Adding to 1101340464 its reverse (4640431011), we get a palindrome (5741771475).

The spelling of 1101340464 in words is "one billion, one hundred one million, three hundred forty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 49 56 69 84 92 98 112 138 147 161 168 184 196 276 294 322 336 368 392 483 552 588 644 784 966 1104 1127 1176 1288 1932 2254 2352 2576 3381 3864 4508 6762 7728 9016 13524 18032 20359 27048 40718 54096 61077 81436 122154 142513 162872 244308 285026 325744 427539 468257 488616 570052 855078 936514 977232 997591 1140104 1404771 1710156 1873028 1995182 2280208 2809542 2992773 3277799 3420312 3746056 3990364 5619084 5985546 6555598 6840624 7492112 7980728 9833397 11238168 11971092 13111196 15961456 19666794 22476336 22944593 23942184 26222392 39333588 45889186 47884368 52444784 68833779 78667176 91778372 137667558 157334352 183556744 275335116 367113488 550670232 1101340464