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363130420 = 22537348677
BaseRepresentation
bin10101101001001…
…110111000110100
3221022021221021211
4111221032320310
51220430133140
6100011051204
711666362162
oct2551167064
9838257254
10363130420
11176a83294
12a1740b04
135a302893
1436328232
1521d2e2ea
hex15a4ee34

363130420 has 24 divisors (see below), whose sum is σ = 764634024. Its totient is φ = 144859776.

The previous prime is 363130409. The next prime is 363130447. The reversal of 363130420 is 24031363.

It can be written as a sum of positive squares in 4 ways, for example, as 47499664 + 315630756 = 6892^2 + 17766^2 .

It is a junction number, because it is equal to n+sod(n) for n = 363130391 and 363130400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16879 + ... + 31798.

It is an arithmetic number, because the mean of its divisors is an integer number (31859751).

Almost surely, 2363130420 is an apocalyptic number.

It is an amenable number.

363130420 is an abundant number, since it is smaller than the sum of its proper divisors (401503604).

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

363130420 is a wasteful number, since it uses less digits than its factorization.

363130420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49059 (or 49057 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 363130420 is about 19055.9812132569. The cubic root of 363130420 is about 713.4346703404.

Adding to 363130420 its reverse (24031363), we get a palindrome (387161783).

The spelling of 363130420 in words is "three hundred sixty-three million, one hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 373 746 1492 1865 3730 7460 48677 97354 194708 243385 486770 973540 18156521 36313042 72626084 90782605 181565210 363130420