Search a number
-
+
305530510400 = 2652190956569
BaseRepresentation
bin1000111001000110000…
…10011001110001000000
31002012121221120001202122
410130203002121301000
520001211302313100
6352205255103412
731034221326353
oct4344302316100
91065557501678
10305530510400
1110863600a655
124b269671b68
1322a7186597b
1410b0585c29a
157e32ea8985
hex4723099c40

305530510400 has 42 divisors (see below), whose sum is σ = 751796016090. Its totient is φ = 122212203520.

The previous prime is 305530510391. The next prime is 305530510403. The reversal of 305530510400 is 4015035503.

It can be written as a sum of positive squares in 3 ways, for example, as 3584656384 + 301945854016 = 59872^2 + 549496^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 305530510400.

It is not an unprimeable number, because it can be changed into a prime (305530510403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 95476685 + ... + 95479884.

It is an arithmetic number, because the mean of its divisors is an integer number (17899905145).

Almost surely, 2305530510400 is an apocalyptic number.

It is an amenable number.

305530510400 is an abundant number, since it is smaller than the sum of its proper divisors (446265505690).

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

305530510400 is a wasteful number, since it uses less digits than its factorization.

305530510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190956591 (or 190956576 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

Adding to 305530510400 its reverse (4015035503), we get a palindrome (309545545903).

The spelling of 305530510400 in words is "three hundred five billion, five hundred thirty million, five hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 190956569 381913138 763826276 954782845 1527652552 1909565690 3055305104 3819131380 4773914225 6110610208 7638262760 9547828450 12221220416 15276525520 19095656900 30553051040 38191313800 61106102080 76382627600 152765255200 305530510400