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312404224 = 2811110939
BaseRepresentation
bin10010100111101…
…110100100000000
3210202211210000211
4102213232210000
51114433413344
650555523504
710512251326
oct2247564400
9722753024
10312404224
11150386a10
1288759594
134c951a92
142d6c1d16
151c65e334
hex129ee900

312404224 has 36 divisors (see below), whose sum is σ = 680284080. Its totient is φ = 142000640.

The previous prime is 312404219. The next prime is 312404231. The reversal of 312404224 is 422404213.

It is a happy number.

312404224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 312404195 and 312404204.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52654 + ... + 58285.

It is an arithmetic number, because the mean of its divisors is an integer number (18896780).

Almost surely, 2312404224 is an apocalyptic number.

It is an amenable number.

312404224 is an abundant number, since it is smaller than the sum of its proper divisors (367879856).

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

312404224 is a wasteful number, since it uses less digits than its factorization.

312404224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110966 (or 110952 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 312404224 is about 17674.9603677066. The cubic root of 312404224 is about 678.5350701152.

Adding to 312404224 its reverse (422404213), we get a palindrome (734808437).

The spelling of 312404224 in words is "three hundred twelve million, four hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 110939 221878 443756 887512 1220329 1775024 2440658 3550048 4881316 7100096 9762632 14200192 19525264 28400384 39050528 78101056 156202112 312404224