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345130440 = 233519231257
BaseRepresentation
bin10100100100100…
…100010111001000
3220001102102221220
4110210210113020
51201323133230
654125202040
711360363124
oct2444442710
9801372856
10345130440
111678a9676
1297700320
135666c8c5
1433ba0584
1520475d10
hex149245c8

345130440 has 192 divisors, whose sum is σ = 1132392960. Its totient is φ = 84049920.

The previous prime is 345130439. The next prime is 345130451. The reversal of 345130440 is 44031543.

It is a super-3 number, since 3×3451304403 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 345130440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1342792 + ... + 1343048.

It is an arithmetic number, because the mean of its divisors is an integer number (5897880).

Almost surely, 2345130440 is an apocalyptic number.

345130440 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 345130440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566196480).

345130440 is an abundant number, since it is smaller than the sum of its proper divisors (787262520).

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

345130440 is a wasteful number, since it uses less digits than its factorization.

345130440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 345130440 is about 18577.6866159379. The cubic root of 345130440 is about 701.4462886381.

Adding to 345130440 its reverse (44031543), we get a palindrome (389161983).

The spelling of 345130440 in words is "three hundred forty-five million, one hundred thirty thousand, four hundred forty".