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345527472 = 24326832
BaseRepresentation
bin10100100110000…
…101010010110000
3220002011121120210
4110212011102300
51201423334342
654141504120
711363635503
oct2446052260
9802147523
10345527472
1116804a9a4
1297872040
135677b534
1433c6513a
152050379c
hex149854b0

345527472 has 30 divisors (see below), whose sum is σ = 892945452. Its totient is φ = 115132896.

The previous prime is 345527471. The next prime is 345527513. The reversal of 345527472 is 274725543.

345527472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 345527472.

It is not an unprimeable number, because it can be changed into a prime (345527471) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 127443 + ... + 130125.

Almost surely, 2345527472 is an apocalyptic number.

It is an amenable number.

345527472 is an abundant number, since it is smaller than the sum of its proper divisors (547417980).

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

345527472 is an frugal number, since it uses more digits than its factorization.

345527472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5377 (or 2688 counting only the distinct ones).

The product of its digits is 235200, while the sum is 39.

The square root of 345527472 is about 18588.3692668292. The cubic root of 345527472 is about 701.7151627277.

Multiplying 345527472 by its product of digits (235200), we get a square (81268061414400 = 90148802).

It can be divided in two parts, 34552 and 7472, that added together give a palindrome (42024).

The spelling of 345527472 in words is "three hundred forty-five million, five hundred twenty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 2683 5366 8049 10732 16098 21464 32196 42928 64392 128784 7198489 14396978 21595467 28793956 43190934 57587912 86381868 115175824 172763736 345527472