Search a number
-
+
3025034400 = 253521774143
BaseRepresentation
bin1011010001001110…
…0101110010100000
321210211010200002010
42310103211302200
522143402100100
61220100552520
7134651240163
oct26423456240
97724120063
103025034400
11131260a133
127050b2740
1339293b2ab
14209a81ada
1512a88b750
hexb44e5ca0

3025034400 has 144 divisors (see below), whose sum is σ = 10425832704. Its totient is φ = 759214080.

The previous prime is 3025034393. The next prime is 3025034401. The reversal of 3025034400 is 44305203.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3025034401) 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, 3729 + ... + 77871.

It is an arithmetic number, because the mean of its divisors is an integer number (72401616).

Almost surely, 23025034400 is an apocalyptic number.

3025034400 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 3025034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212916352).

3025034400 is an abundant number, since it is smaller than the sum of its proper divisors (7400798304).

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

3025034400 is a wasteful number, since it uses less digits than its factorization.

3025034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74183 (or 74170 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 3025034400 is about 55000.3127263837. The cubic root of 3025034400 is about 1446.2502240443.

Adding to 3025034400 its reverse (44305203), we get a palindrome (3069339603).

The spelling of 3025034400 in words is "three billion, twenty-five million, thirty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 68 75 80 85 96 100 102 120 136 150 160 170 200 204 240 255 272 300 340 400 408 425 480 510 544 600 680 800 816 850 1020 1200 1275 1360 1632 1700 2040 2400 2550 2720 3400 4080 5100 6800 8160 10200 13600 20400 40800 74143 148286 222429 296572 370715 444858 593144 741430 889716 1112145 1186288 1260431 1482860 1779432 1853575 2224290 2372576 2520862 2965720 3558864 3707150 3781293 4448580 5041724 5560725 5931440 6302155 7117728 7414300 7562586 8897160 10083448 11121450 11862880 12604310 14828600 15125172 17794320 18906465 20166896 22242900 25208620 29657200 30250344 31510775 35588640 37812930 40333792 44485800 50417240 59314400 60500688 63021550 75625860 88971600 94532325 100834480 121001376 126043100 151251720 177943200 189064650 201668960 252086200 302503440 378129300 504172400 605006880 756258600 1008344800 1512517200 3025034400