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1340311014 = 232723767613
BaseRepresentation
bin100111111100011…
…1000010111100110
310110102000212001200
41033320320113212
510221104423024
6340555303330
745133312200
oct11770702746
93412025050
101340311014
11628630559
12314a4ab46
131848b0253
14ca015770
157ca042c9
hex4fe385e6

1340311014 has 144 divisors (see below), whose sum is σ = 3526958448. Its totient is φ = 366436224.

The previous prime is 1340311003. The next prime is 1340311031. The reversal of 1340311014 is 4101130431.

1340311014 is a `hidden beast` number, since 1 + 340 + 311 + 0 + 14 = 666.

It is a super-3 number, since 3×13403110143 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2186172 + ... + 2186784.

It is an arithmetic number, because the mean of its divisors is an integer number (24492767).

Almost surely, 21340311014 is an apocalyptic number.

1340311014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340311014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763479224).

1340311014 is an abundant number, since it is smaller than the sum of its proper divisors (2186647434).

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

1340311014 is a wasteful number, since it uses less digits than its factorization.

1340311014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 729 counting only the distinct ones).

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

The square root of 1340311014 is about 36610.2583164883. The cubic root of 1340311014 is about 1102.5590595724.

Adding to 1340311014 its reverse (4101130431), we get a palindrome (5441441445).

The spelling of 1340311014 in words is "one billion, three hundred forty million, three hundred eleven thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 49 63 67 74 98 111 126 134 147 201 222 259 294 333 402 441 469 518 603 613 666 777 882 938 1206 1226 1407 1554 1813 1839 2331 2479 2814 3283 3626 3678 4221 4291 4662 4958 5439 5517 6566 7437 8442 8582 9849 10878 11034 12873 14874 16317 17353 19698 22311 22681 25746 29547 30037 32634 34706 38619 41071 44622 45362 52059 59094 60074 68043 77238 82142 90111 104118 121471 123213 136086 156177 158767 180222 204129 242942 246426 270333 287497 312354 317534 364413 369639 408258 476301 540666 574994 728826 739278 862491 952602 1093239 1111369 1428903 1519627 1724982 2012479 2186478 2222738 2587473 2857806 3039254 3334107 4024958 4558881 5174946 6037437 6668214 9117762 10002321 10637389 12074874 13676643 18112311 20004642 21274778 27353286 31912167 36224622 63824334 74461723 95736501 148923446 191473002 223385169 446770338 670155507 1340311014