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1340412216 = 23311132316981
BaseRepresentation
bin100111111100101…
…0001000100111000
310110102012222212220
41033321101010320
510221121142331
6341001404040
745134213223
oct11771210470
93412188786
101340412216
1162869a5a0
12314a99620
13184917330
14ca0405ba
157ca24296
hex4fe51138

1340412216 has 128 divisors (see below), whose sum is σ = 4108285440. Its totient is φ = 358617600.

The previous prime is 1340412169. The next prime is 1340412253. The reversal of 1340412216 is 6122140431.

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

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, 70446 + ... + 87426.

It is an arithmetic number, because the mean of its divisors is an integer number (32095980).

Almost surely, 21340412216 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 1340412216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054142720).

1340412216 is an abundant number, since it is smaller than the sum of its proper divisors (2767873224).

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

1340412216 is a wasteful number, since it uses less digits than its factorization.

1340412216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17037 (or 17033 counting only the distinct ones).

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

The square root of 1340412216 is about 36611.6404439899. The cubic root of 1340412216 is about 1102.5868089461.

Adding to 1340412216 its reverse (6122140431), we get a palindrome (7462552647).

The spelling of 1340412216 in words is "one billion, three hundred forty million, four hundred twelve thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 22 23 24 26 33 39 44 46 52 66 69 78 88 92 104 132 138 143 156 184 253 264 276 286 299 312 429 506 552 572 598 759 858 897 1012 1144 1196 1518 1716 1794 2024 2392 3036 3289 3432 3588 6072 6578 7176 9867 13156 16981 19734 26312 33962 39468 50943 67924 78936 101886 135848 186791 203772 220753 373582 390563 407544 441506 560373 662259 747164 781126 883012 1120746 1171689 1324518 1494328 1562252 1766024 2241492 2343378 2428283 2649036 3124504 4296193 4482984 4686756 4856566 5077319 5298072 7284849 8592386 9373512 9713132 10154638 12888579 14569698 15231957 17184772 19426264 20309276 25777158 29139396 30463914 34369544 40618552 51554316 55850509 58278792 60927828 103108632 111701018 121855656 167551527 223402036 335103054 446804072 670206108 1340412216