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1341432664 = 2311131318951
BaseRepresentation
bin100111111110100…
…1010001101011000
310110111010211200021
41033331022031120
510221401321124
6341035320224
745145663255
oct11775121530
93414124607
101341432664
11629227240
123152b0074
13184bb3950
14ca22842c
157cb767e4
hex4ff4a358

1341432664 has 64 divisors (see below), whose sum is σ = 2977793280. Its totient is φ = 558480000.

The previous prime is 1341432647. The next prime is 1341432667. The reversal of 1341432664 is 4662341431.

It is a super-2 number, since 2×13414326642 = 3598883184092273792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341432667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145389 + ... + 154339.

It is an arithmetic number, because the mean of its divisors is an integer number (46528020).

Almost surely, 21341432664 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 1341432664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488896640).

1341432664 is an abundant number, since it is smaller than the sum of its proper divisors (1636360616).

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

1341432664 is a wasteful number, since it uses less digits than its factorization.

1341432664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9112 (or 9108 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

The square root of 1341432664 is about 36625.5739067663. The cubic root of 1341432664 is about 1102.8665356084.

The spelling of 1341432664 in words is "one billion, three hundred forty-one million, four hundred thirty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 131 143 262 286 524 572 1048 1144 1441 1703 2882 3406 5764 6812 8951 11528 13624 17902 18733 35804 37466 71608 74932 98461 116363 149864 196922 232726 393844 465452 787688 930904 1172581 1279993 2345162 2559986 4690324 5119972 9380648 10239944 12898391 15243553 25796782 30487106 51593564 60974212 103187128 121948424 167679083 335358166 670716332 1341432664