Search a number
-
+
3081760440 = 2335113137459
BaseRepresentation
bin1011011110101111…
…1110111010111000
321221202212122120120
42313223332322320
522302412313230
61225444453240
7136240350213
oct26753767270
97852778516
103081760440
111341634260
127200aa220
133a160ccb5
1421340a77a
15130844310
hexb7afeeb8

3081760440 has 128 divisors (see below), whose sum is σ = 10119340800. Its totient is φ = 744606720.

The previous prime is 3081760433. The next prime is 3081760447. The reversal of 3081760440 is 440671803.

It is an interprime number because it is at equal distance from previous prime (3081760433) and next prime (3081760447).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3081760447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409431 + ... + 416889.

It is an arithmetic number, because the mean of its divisors is an integer number (79057350).

Almost surely, 23081760440 is an apocalyptic number.

3081760440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3081760440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059670400).

3081760440 is an abundant number, since it is smaller than the sum of its proper divisors (7037580360).

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

3081760440 is a wasteful number, since it uses less digits than its factorization.

3081760440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7797 (or 7793 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 3081760440 is about 55513.6058998152. The cubic root of 3081760440 is about 1455.2344209628.

The spelling of 3081760440 in words is "three billion, eighty-one million, seven hundred sixty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 313 330 440 626 660 939 1252 1320 1565 1878 2504 3130 3443 3756 4695 6260 6886 7459 7512 9390 10329 12520 13772 14918 17215 18780 20658 22377 27544 29836 34430 37295 37560 41316 44754 51645 59672 68860 74590 82049 82632 89508 103290 111885 137720 149180 164098 179016 206580 223770 246147 298360 328196 410245 413160 447540 492294 656392 820490 895080 984588 1230735 1640980 1969176 2334667 2461470 3281960 4669334 4922940 7004001 9338668 9845880 11673335 14008002 18677336 23346670 25681337 28016004 35020005 46693340 51362674 56032008 70040010 77044011 93386680 102725348 128406685 140080020 154088022 205450696 256813370 280160040 308176044 385220055 513626740 616352088 770440110 1027253480 1540880220 3081760440