Search a number
-
+
1340083836 = 22327131073823
BaseRepresentation
bin100111111100000…
…0000111001111100
310110101121022102200
41033320000321330
510221030140321
6340550351500
745131344650
oct11770007174
93411538380
101340083836
11628495903
1231495b590
13184830a20
14c9d96a60
157c9abd26
hex4fe00e7c

1340083836 has 144 divisors (see below), whose sum is σ = 4209214464. Its totient is φ = 350034048.

The previous prime is 1340083793. The next prime is 1340083861. The reversal of 1340083836 is 6383800431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1340083836.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 348621 + ... + 352443.

It is an arithmetic number, because the mean of its divisors is an integer number (29230656).

Almost surely, 21340083836 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 1340083836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104607232).

1340083836 is an abundant number, since it is smaller than the sum of its proper divisors (2869130628).

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

1340083836 is a wasteful number, since it uses less digits than its factorization.

1340083836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3960 (or 3955 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1340083836 is about 36607.1555300326. The cubic root of 1340083836 is about 1102.4967627591.

The spelling of 1340083836 in words is "one billion, three hundred forty million, eighty-three thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 107 117 126 156 182 214 234 252 273 321 364 428 468 546 642 749 819 963 1092 1284 1391 1498 1638 1926 2247 2782 2996 3276 3823 3852 4173 4494 5564 6741 7646 8346 8988 9737 11469 12519 13482 15292 16692 19474 22938 25038 26761 26964 29211 34407 38948 45876 49699 50076 53522 58422 68814 80283 87633 99398 107044 116844 137628 149097 160566 175266 198796 240849 298194 321132 347893 350532 409061 447291 481698 596388 695786 818122 894582 963396 1043679 1227183 1391572 1636244 1789164 2087358 2454366 2863427 3131037 3681549 4174716 4908732 5317793 5726854 6262074 7363098 8590281 10635586 11453708 12524148 14726196 15953379 17180562 21271172 25770843 31906758 34361124 37224551 47860137 51541686 63813516 74449102 95720274 103083372 111673653 148898204 191440548 223347306 335020959 446694612 670041918 1340083836