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312404430 = 23513801037
BaseRepresentation
bin10010100111101…
…110100111001110
3210202211210022110
4102213232213032
51114433420210
650555524450
710512252042
oct2247564716
9722753273
10312404430
11150387088
1288759726
134c951bc0
142d6c2022
151c65e420
hex129ee9ce

312404430 has 32 divisors (see below), whose sum is σ = 807446304. Its totient is φ = 76899456.

The previous prime is 312404401. The next prime is 312404471. The reversal of 312404430 is 34404213.

It is a junction number, because it is equal to n+sod(n) for n = 312404397 and 312404406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400129 + ... + 400908.

It is an arithmetic number, because the mean of its divisors is an integer number (25232697).

Almost surely, 2312404430 is an apocalyptic number.

312404430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312404430 is an abundant number, since it is smaller than the sum of its proper divisors (495041874).

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

312404430 is a wasteful number, since it uses less digits than its factorization.

312404430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801060.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 312404430 is about 17674.9661951586. The cubic root of 312404430 is about 678.5352192577.

Adding to 312404430 its reverse (34404213), we get a palindrome (346808643).

The spelling of 312404430 in words is "three hundred twelve million, four hundred four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 801037 1602074 2403111 4005185 4806222 8010370 10413481 12015555 20826962 24031110 31240443 52067405 62480886 104134810 156202215 312404430