Search a number
-
+
3075131232 = 253229536947
BaseRepresentation
bin1011011101001010…
…1100011101100000
321221022101212000100
42313102230131200
522244213144412
61225050422400
7136130120115
oct26722543540
97838355010
103075131232
111338916678
12719a31a00
133a012b7a4
142125a290c
1512ee84edc
hexb74ac760

3075131232 has 144 divisors (see below), whose sum is σ = 9218467440. Its totient is φ = 970884096.

The previous prime is 3075131231. The next prime is 3075131233. The reversal of 3075131232 is 2321315703.

3075131232 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3075131231) and next prime (3075131233).

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 3075131196 and 3075131205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3075131231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 439183 + ... + 446129.

It is an arithmetic number, because the mean of its divisors is an integer number (64017135).

Almost surely, 23075131232 is an apocalyptic number.

3075131232 is a gapful number since it is divisible by the number (32) 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 3075131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4609233720).

3075131232 is an abundant number, since it is smaller than the sum of its proper divisors (6143336208).

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

3075131232 is a wasteful number, since it uses less digits than its factorization.

3075131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7045 (or 7034 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 3075131232 is about 55453.8657985176. The cubic root of 3075131232 is about 1454.1902150699.

Adding to 3075131232 its reverse (2321315703), we get a palindrome (5396446935).

The spelling of 3075131232 in words is "three billion, seventy-five million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 53 58 72 87 96 106 116 144 159 174 212 232 261 288 318 348 424 464 477 522 636 696 848 928 954 1044 1272 1392 1537 1696 1908 2088 2544 2784 3074 3816 4176 4611 5088 6148 6947 7632 8352 9222 12296 13833 13894 15264 18444 20841 24592 27666 27788 36888 41682 49184 55332 55576 62523 73776 83364 110664 111152 125046 147552 166728 201463 221328 222304 250092 333456 368191 402926 442656 500184 604389 666912 736382 805852 1000368 1104573 1208778 1472764 1611704 1813167 2000736 2209146 2417556 2945528 3223408 3313719 3626334 4418292 4835112 5891056 6446816 6627438 7252668 8836584 9670224 10677539 11782112 13254876 14505336 17673168 19340448 21355078 26509752 29010672 32032617 35346336 42710156 53019504 58021344 64065234 85420312 96097851 106039008 128130468 170840624 192195702 256260936 341681248 384391404 512521872 768782808 1025043744 1537565616 3075131232