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11304544340 = 2254347307911
BaseRepresentation
bin10101000011100110…
…11010100001010100
31002011211111100112102
422201303122201110
5141122430404330
65105423341232
7550065020135
oct124163324124
932154440472
1011304544340
114881136531
122235a51818
1310b20569bb
14793507c8c
15462699945
hex2a1cda854

11304544340 has 96 divisors (see below), whose sum is σ = 24916598784. Its totient is φ = 4303877760.

The previous prime is 11304544333. The next prime is 11304544369. The reversal of 11304544340 is 4344540311.

It is a happy number.

It is a super-3 number, since 3×113045443403 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12408485 + ... + 12409395.

It is an arithmetic number, because the mean of its divisors is an integer number (259547904).

Almost surely, 211304544340 is an apocalyptic number.

11304544340 is a gapful number since it is divisible by the number (10) 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 11304544340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12458299392).

11304544340 is an abundant number, since it is smaller than the sum of its proper divisors (13612054444).

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

11304544340 is a wasteful number, since it uses less digits than its factorization.

11304544340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1315 counting only the distinct ones).

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

The spelling of 11304544340 in words is "eleven billion, three hundred four million, five hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 43 47 86 94 172 188 215 235 307 430 470 614 860 911 940 1228 1535 1822 2021 3070 3644 4042 4555 6140 8084 9110 10105 13201 14429 18220 20210 26402 28858 39173 40420 42817 52804 57716 66005 72145 78346 85634 132010 144290 156692 171268 195865 214085 264020 279677 288580 391730 428170 559354 620447 783460 856340 1118708 1240894 1398385 1841131 2481788 2796770 3102235 3682262 5593540 6204470 7364524 9205655 12026111 12408940 13144819 18411310 24052222 26289638 36822620 48104444 52579276 60130555 65724095 120261110 131448190 240522220 262896380 565227217 1130454434 2260908868 2826136085 5652272170 11304544340