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345530352 = 24319616211
BaseRepresentation
bin10100100110000…
…101111111110000
3220002011202112110
4110212011333300
51201423432402
654141525320
711363650056
oct2446057760
9802152473
10345530352
11168052082
1297873840
135677c93b
1433c661d6
152050456c
hex14985ff0

345530352 has 80 divisors (see below), whose sum is σ = 955157120. Its totient is φ = 107308800.

The previous prime is 345530351. The next prime is 345530359. The reversal of 345530352 is 253035543.

345530352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345530351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52527 + ... + 58737.

It is an arithmetic number, because the mean of its divisors is an integer number (11939464).

Almost surely, 2345530352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345530352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477578560).

345530352 is an abundant number, since it is smaller than the sum of its proper divisors (609626768).

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

345530352 is a wasteful number, since it uses less digits than its factorization.

345530352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6302 (or 6296 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 30.

The square root of 345530352 is about 18588.4467344639. The cubic root of 345530352 is about 701.7171123402.

Adding to 345530352 its reverse (253035543), we get a palindrome (598565895).

The spelling of 345530352 in words is "three hundred forty-five million, five hundred thirty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 61 76 114 122 152 183 228 244 304 366 456 488 732 912 976 1159 1464 2318 2928 3477 4636 6211 6954 9272 12422 13908 18544 18633 24844 27816 37266 49688 55632 74532 99376 118009 149064 236018 298128 354027 378871 472036 708054 757742 944072 1136613 1416108 1515484 1888144 2273226 2832216 3030968 4546452 5664432 6061936 7198549 9092904 14397098 18185808 21595647 28794196 43191294 57588392 86382588 115176784 172765176 345530352