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312401420 = 225197111579
BaseRepresentation
bin10010100111101…
…101111000001100
3210202211122011222
4102213231320030
51114433321140
650555502512
710512240212
oct2247557014
9722748158
10312401420
111503848a1
1288757a38
134c950716
142d6c0cb2
151c65d5b5
hex129ede0c

312401420 has 48 divisors (see below), whose sum is σ = 700358400. Its totient is φ = 116706240.

The previous prime is 312401393. The next prime is 312401423. The reversal of 312401420 is 24104213.

It is not an unprimeable number, because it can be changed into a prime (312401423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21191 + ... + 32769.

It is an arithmetic number, because the mean of its divisors is an integer number (14590800).

Almost surely, 2312401420 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 312401420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350179200).

312401420 is an abundant number, since it is smaller than the sum of its proper divisors (387956980).

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

312401420 is a wasteful number, since it uses less digits than its factorization.

312401420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11678 (or 11676 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 312401420 is about 17674.8810462758. The cubic root of 312401420 is about 678.5330400338.

Adding to 312401420 its reverse (24104213), we get a palindrome (336505633).

The spelling of 312401420 in words is "three hundred twelve million, four hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 71 76 95 142 190 284 355 380 710 1349 1420 2698 5396 6745 11579 13490 23158 26980 46316 57895 115790 220001 231580 440002 822109 880004 1100005 1644218 2200010 3288436 4110545 4400020 8221090 15620071 16442180 31240142 62480284 78100355 156200710 312401420