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1340310132 = 2233722331087
BaseRepresentation
bin100111111100011…
…1000001001110100
310110102000210212000
41033320320021310
510221104411012
6340555255300
745133306500
oct11770701164
93412023760
101340310132
1162862a927
12314a4a530
131848aca25
14ca015300
157ca03ddc
hex4fe38274

1340310132 has 144 divisors (see below), whose sum is σ = 4063288320. Its totient is φ = 380951424.

The previous prime is 1340310109. The next prime is 1340310137. The reversal of 1340310132 is 2310130431.

1340310132 is a `hidden beast` number, since 1 + 340 + 310 + 13 + 2 = 666.

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 (1340310137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1232493 + ... + 1233579.

It is an arithmetic number, because the mean of its divisors is an integer number (28217280).

Almost surely, 21340310132 is an apocalyptic number.

1340310132 is a gapful number since it is divisible by the number (12) 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 1340310132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031644160).

1340310132 is an abundant number, since it is smaller than the sum of its proper divisors (2722978188).

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

1340310132 is a wasteful number, since it uses less digits than its factorization.

1340310132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1340310132 is about 36610.2462706822. The cubic root of 1340310132 is about 1102.5588177237.

Adding to 1340310132 its reverse (2310130431), we get a palindrome (3650440563).

The spelling of 1340310132 in words is "one billion, three hundred forty million, three hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 233 252 294 378 441 466 588 699 756 882 932 1087 1323 1398 1631 1764 2097 2174 2646 2796 3261 3262 4194 4348 4893 5292 6291 6522 6524 7609 8388 9783 9786 11417 12582 13044 14679 15218 19566 19572 22827 22834 25164 29349 29358 30436 34251 39132 44037 45654 45668 53263 58698 58716 68481 68502 88074 91308 102753 106526 117396 136962 137004 159789 176148 205443 205506 213052 253271 273924 308259 319578 410886 411012 479367 506542 616518 639156 759813 821772 958734 1013084 1233036 1438101 1519626 1772897 1917468 2279439 2876202 3039252 3545794 4558878 5318691 5752404 6838317 7091588 9117756 10637382 12410279 13676634 15956073 21274764 24820558 27353268 31912146 37230837 47868219 49641116 63824292 74461674 95736438 111692511 148923348 191472876 223385022 335077533 446770044 670155066 1340310132