Search a number
-
+
1341117756 = 2233112833989
BaseRepresentation
bin100111111101111…
…1101010100111100
310110110112211201000
41033323331110330
510221311232011
6341024450300
745143212206
oct11773752474
93413484630
101341117756
11629031690
12315179990
13184b03504
14ca185776
157cb13356
hex4fefd53c

1341117756 has 96 divisors (see below), whose sum is σ = 3807417600. Its totient is φ = 404861760.

The previous prime is 1341117737. The next prime is 1341117823. The reversal of 1341117756 is 6577111431.

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 1341117756.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334210 + ... + 338198.

It is an arithmetic number, because the mean of its divisors is an integer number (39660600).

Almost surely, 21341117756 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 1341117756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903708800).

1341117756 is an abundant number, since it is smaller than the sum of its proper divisors (2466299844).

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

1341117756 is a wasteful number, since it uses less digits than its factorization.

1341117756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296 (or 4288 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 1341117756 is about 36621.2746364733. The cubic root of 1341117756 is about 1102.7802277167.

The spelling of 1341117756 in words is "one billion, three hundred forty-one million, one hundred seventeen thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 283 297 396 566 594 849 1132 1188 1698 2547 3113 3396 3989 5094 6226 7641 7978 9339 10188 11967 12452 15282 15956 18678 23934 28017 30564 35901 37356 43879 47868 56034 71802 84051 87758 107703 112068 131637 143604 168102 175516 215406 263274 336204 394911 430812 526548 789822 1128887 1184733 1579644 2257774 2369466 3386661 4515548 4738932 6773322 10159983 12417757 13546644 20319966 24835514 30479949 37253271 40639932 49671028 60959898 74506542 111759813 121919796 149013084 223519626 335279439 447039252 670558878 1341117756