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301412434240 = 265941913857
BaseRepresentation
bin1000110001011011001…
…01001100000101000000
31001210222221200010021101
410120231211030011000
514414243040343430
6350244510304144
730530165263411
oct4305545140500
91053887603241
10301412434240
11106912509025
124a4ba4b8054
1322566641c08
141083496d808
157c916acdca
hex462d94c140

301412434240 has 28 divisors (see below), whose sum is σ = 717738359796. Its totient is φ = 120564973568.

The previous prime is 301412434223. The next prime is 301412434243. The reversal of 301412434240 is 42434214103.

It can be written as a sum of positive squares in 2 ways, for example, as 138848645376 + 162563788864 = 372624^2 + 403192^2 .

It is a junction number, because it is equal to n+sod(n) for n = 301412434199 and 301412434208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301412434243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 470956609 + ... + 470957248.

Almost surely, 2301412434240 is an apocalyptic number.

It is an amenable number.

301412434240 is an abundant number, since it is smaller than the sum of its proper divisors (416325925556).

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

301412434240 is an equidigital number, since it uses as much as digits as its factorization.

301412434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941913874 (or 941913864 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 301412434240 its reverse (42434214103), we get a palindrome (343846648343).

The spelling of 301412434240 in words is "three hundred one billion, four hundred twelve million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 941913857 1883827714 3767655428 4709569285 7535310856 9419138570 15070621712 18838277140 30141243424 37676554280 60282486848 75353108560 150706217120 301412434240