Search a number
-
+
3055350400 = 27525916183
BaseRepresentation
bin1011011000011100…
…1111001010000000
321212221011212210221
42312013033022000
522224132203100
61223102432424
7135500023054
oct26607171200
97787155727
103055350400
111328735a83
12713292714
13398cc405b
1420dad3c64
1512d37901a
hexb61cf280

3055350400 has 96 divisors (see below), whose sum is σ = 7676071200. Its totient is φ = 1201351680.

The previous prime is 3055350323. The next prime is 3055350401. The reversal of 3055350400 is 40535503.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3055350401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180709 + ... + 196891.

It is an arithmetic number, because the mean of its divisors is an integer number (79959075).

Almost surely, 23055350400 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 3055350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3838035600).

3055350400 is an abundant number, since it is smaller than the sum of its proper divisors (4620720800).

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

3055350400 is a wasteful number, since it uses less digits than its factorization.

3055350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16266 (or 16249 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 25.

The square root of 3055350400 is about 55275.2241062847. The cubic root of 3055350400 is about 1451.0654713505.

Adding to 3055350400 its reverse (40535503), we get a palindrome (3095885903).

The spelling of 3055350400 in words is "three billion, fifty-five million, three hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 64 80 100 118 128 160 200 236 295 320 400 472 590 640 800 944 1180 1475 1600 1888 2360 2950 3200 3776 4720 5900 7552 9440 11800 16183 18880 23600 32366 37760 47200 64732 80915 94400 129464 161830 188800 258928 323660 404575 517856 647320 809150 954797 1035712 1294640 1618300 1909594 2071424 2589280 3236600 3819188 4773985 5178560 6473200 7638376 9547970 10357120 12946400 15276752 19095940 23869925 25892800 30553504 38191880 47739850 51785600 61107008 76383760 95479700 122214016 152767520 190959400 305535040 381918800 611070080 763837600 1527675200 3055350400