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1340134110 = 232572239539
BaseRepresentation
bin100111111100000…
…1101001011011110
310110101200212101200
41033320031023132
510221033242420
6340551420330
745131644350
oct11770151336
93411625350
101340134110
1162851a657
123149846a6
1318484a883
14c9dab0d0
157c9bbb90
hex4fe0d2de

1340134110 has 96 divisors (see below), whose sum is σ = 4000389120. Its totient is φ = 304910784.

The previous prime is 1340134091. The next prime is 1340134111. The reversal of 1340134110 is 114310431.

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 (1340134111) 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, 135721 + ... + 145259.

It is an arithmetic number, because the mean of its divisors is an integer number (41670720).

Almost surely, 21340134110 is an apocalyptic number.

1340134110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340134110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000194560).

1340134110 is an abundant number, since it is smaller than the sum of its proper divisors (2660255010).

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

1340134110 is a wasteful number, since it uses less digits than its factorization.

1340134110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9782 (or 9779 counting only the distinct ones).

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

The square root of 1340134110 is about 36607.8421926232. The cubic root of 1340134110 is about 1102.5105495157.

Adding to 1340134110 its reverse (114310431), we get a palindrome (1454444541).

The spelling of 1340134110 in words is "one billion, three hundred forty million, one hundred thirty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 223 315 446 630 669 1115 1338 1561 2007 2230 3122 3345 4014 4683 6690 7805 9366 9539 10035 14049 15610 19078 20070 23415 28098 28617 46830 47695 57234 66773 70245 85851 95390 133546 140490 143085 171702 200319 286170 333865 400638 429255 600957 667730 858510 1001595 1201914 2003190 2127197 3004785 4254394 6009570 6381591 10635985 12763182 14890379 19144773 21271970 29780758 31907955 38289546 44671137 63815910 74451895 89342274 95723865 134013411 148903790 191447730 223355685 268026822 446711370 670067055 1340134110