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345047040 = 21634513
BaseRepresentation
bin10100100100010…
…000000000000000
3220001021012120000
4110210100000000
51201313001130
654123320000
711356565022
oct2444200000
9801235500
10345047040
11167851a48
1297680000
1356640960
1433b7c012
152045b260
hex14910000

345047040 has 340 divisors, whose sum is σ = 1332205644. Its totient is φ = 84934656.

The previous prime is 345047029. The next prime is 345047051. The reversal of 345047040 is 40740543.

It is an interprime number because it is at equal distance from previous prime (345047029) and next prime (345047051).

It can be written as a sum of positive squares in 2 ways, for example, as 84934656 + 260112384 = 9216^2 + 16128^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 345046995 and 345047013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26542074 + ... + 26542086.

Almost surely, 2345047040 is an apocalyptic number.

345047040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666102822).

345047040 is an abundant number, since it is smaller than the sum of its proper divisors (987158604).

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

345047040 is an frugal number, since it uses more digits than its factorization.

345047040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 345047040 is about 18575.4418520799. The cubic root of 345047040 is about 701.3897831100.

Adding to 345047040 its reverse (40740543), we get a palindrome (385787583).

The spelling of 345047040 in words is "three hundred forty-five million, forty-seven thousand, forty".