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2340334512 = 243317437411
BaseRepresentation
bin1000101101111110…
…1010101110110000
320001002202022102000
42023133222232300
514243111201022
61024121254000
7111665341455
oct21337525660
96032668360
102340334512
11aa106aa5a
12553934300
132b3b28029
14182b6b82c
15da6dc6ac
hex8b7eabb0

2340334512 has 160 divisors (see below), whose sum is σ = 7279176960. Its totient is φ = 717050880.

The previous prime is 2340334499. The next prime is 2340334543. The reversal of 2340334512 is 2154330432.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 312087 + ... + 319497.

It is an arithmetic number, because the mean of its divisors is an integer number (45494856).

Almost surely, 22340334512 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 2340334512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3639588480).

2340334512 is an abundant number, since it is smaller than the sum of its proper divisors (4938842448).

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

2340334512 is a wasteful number, since it uses less digits than its factorization.

2340334512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7488 (or 7476 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2340334512 is about 48377.0039584925. The cubic root of 2340334512 is about 1327.6776537754.

Adding to 2340334512 its reverse (2154330432), we get a palindrome (4494664944).

The spelling of 2340334512 in words is "two billion, three hundred forty million, three hundred thirty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 43 48 51 54 68 72 86 102 108 129 136 144 153 172 204 216 258 272 306 344 387 408 432 459 516 612 688 731 774 816 918 1032 1161 1224 1462 1548 1836 2064 2193 2322 2448 2924 3096 3672 4386 4644 5848 6192 6579 7344 7411 8772 9288 11696 13158 14822 17544 18576 19737 22233 26316 29644 35088 39474 44466 52632 59288 66699 78948 88932 105264 118576 125987 133398 157896 177864 200097 251974 266796 315792 318673 355728 377961 400194 503948 533592 637346 755922 800388 956019 1007896 1067184 1133883 1274692 1511844 1600776 1912038 2015792 2267766 2549384 2868057 3023688 3201552 3401649 3824076 4535532 5098768 5417441 5736114 6047376 6803298 7648152 8604171 9071064 10834882 11472228 13606596 15296304 16252323 17208342 18142128 21669764 22944456 27213192 32504646 34416684 43339528 45888912 48756969 54426384 65009292 68833368 86679056 97513938 130018584 137666736 146270907 195027876 260037168 292541814 390055752 585083628 780111504 1170167256 2340334512