Search a number
-
+
1130314374 = 232731472131
BaseRepresentation
bin100001101011111…
…0011101010000110
32220202212220211100
41003113303222012
54303330024444
6304054320530
740003341120
oct10327635206
92822786740
101130314374
1153003aa12
12276659146
13150235a97
14aa190210
1569372e69
hex435f3a86

1130314374 has 144 divisors (see below), whose sum is σ = 2974473216. Its totient is φ = 303544800.

The previous prime is 1130314373. The next prime is 1130314379. The reversal of 1130314374 is 4734130311.

1130314374 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11303143742 = 2555221168142023752, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130314373) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8628289 + ... + 8628419.

It is an arithmetic number, because the mean of its divisors is an integer number (20656064).

Almost surely, 21130314374 is an apocalyptic number.

1130314374 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130314374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487236608).

1130314374 is an abundant number, since it is smaller than the sum of its proper divisors (1844158842).

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

1130314374 is a wasteful number, since it uses less digits than its factorization.

1130314374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1130314374 is about 33620.1483339976. The cubic root of 1130314374 is about 1041.6770200343.

Adding to 1130314374 its reverse (4734130311), we get a palindrome (5864444685).

The spelling of 1130314374 in words is "one billion, one hundred thirty million, three hundred fourteen thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 47 62 63 93 94 126 131 141 186 217 262 279 282 329 393 423 434 558 651 658 786 846 917 987 1179 1302 1457 1834 1953 1974 2209 2358 2751 2914 2961 3906 4061 4371 4418 5502 5922 6157 6627 8122 8253 8742 10199 12183 12314 13113 13254 15463 16506 18471 19881 20398 24366 26226 28427 30597 30926 36549 36942 39762 43099 46389 55413 56854 61194 68479 73098 85281 86198 91791 92778 110826 129297 136958 139167 170562 183582 190867 205437 255843 258594 278334 289379 381734 387891 410874 479353 511686 572601 578758 616311 775782 868137 958706 1145202 1232622 1336069 1438059 1717803 1736274 2025653 2604411 2672138 2876118 3435606 4008207 4051306 4314177 5208822 6076959 8016414 8628354 8970749 12024621 12153918 17941498 18230877 24049242 26912247 36461754 53824494 62795243 80736741 125590486 161473482 188385729 376771458 565157187 1130314374