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2304111312 = 243343711747
BaseRepresentation
bin1000100101010101…
…1111001011010000
312221120120222112000
42021111133023100
514204323030222
61020345034000
7111045423456
oct21125371320
95846528460
102304111312
11a82679a28
12543785900
132a9484599
1417c01c9d6
15d74349ac
hex8955f2d0

2304111312 has 160 divisors (see below), whose sum is σ = 6866703360. Its totient is φ = 739186560.

The previous prime is 2304111311. The next prime is 2304111367. The reversal of 2304111312 is 2131114032.

2304111312 is a `hidden beast` number, since 230 + 411 + 13 + 12 = 666.

It is a super-2 number, since 2×23041113122 = 10617857876172722688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2304111311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1318023 + ... + 1319769.

It is an arithmetic number, because the mean of its divisors is an integer number (42916896).

Almost surely, 22304111312 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 2304111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3433351680).

2304111312 is an abundant number, since it is smaller than the sum of its proper divisors (4562592048).

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

2304111312 is a wasteful number, since it uses less digits than its factorization.

2304111312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2304111312 is about 48001.1594859958. The cubic root of 2304111312 is about 1320.7921691300.

Adding to 2304111312 its reverse (2131114032), we get a palindrome (4435225344).

The spelling of 2304111312 in words is "two billion, three hundred four million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 71 72 86 108 129 142 144 172 213 216 258 284 344 387 426 432 516 568 639 688 774 852 1032 1136 1161 1278 1548 1704 1747 1917 2064 2322 2556 3053 3096 3408 3494 3834 4644 5112 5241 6106 6192 6988 7668 9159 9288 10224 10482 12212 13976 15336 15723 18318 18576 20964 24424 27477 27952 30672 31446 36636 41928 47169 48848 54954 62892 73272 75121 82431 83856 94338 109908 124037 125784 146544 150242 164862 188676 219816 225363 248074 251568 300484 329724 372111 377352 439632 450726 496148 600968 659448 676089 744222 754704 901452 992296 1116333 1201936 1318896 1352178 1488444 1802904 1984592 2028267 2232666 2704356 2976888 3348999 3605808 4056534 4465332 5333591 5408712 5953776 6697998 8113068 8930664 10667182 10817424 13395996 16000773 16226136 17861328 21334364 26791992 32001546 32452272 42668728 48002319 53583984 64003092 85337456 96004638 128006184 144006957 192009276 256012368 288013914 384018552 576027828 768037104 1152055656 2304111312