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345866328 = 23336723899
BaseRepresentation
bin10100100111011…
…000000001011000
3220002210211102000
4110213120001120
51202020210303
654153041000
711366546433
oct2447300130
9802724360
10345866328
11168261545
12979b6160
1356869842
1433d1281a
152056dda3
hex149d8058

345866328 has 64 divisors (see below), whose sum is σ = 975120000. Its totient is φ = 113563296.

The previous prime is 345866327. The next prime is 345866407. The reversal of 345866328 is 823668543.

It is a happy number.

345866328 is a `hidden beast` number, since 3 + 4 + 5 + 8 + 6 + 632 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345866327) 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 15 ways as a sum of consecutive naturals, for example, 2523 + ... + 26421.

It is an arithmetic number, because the mean of its divisors is an integer number (15236250).

Almost surely, 2345866328 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 345866328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487560000).

345866328 is an abundant number, since it is smaller than the sum of its proper divisors (629253672).

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

345866328 is a wasteful number, since it uses less digits than its factorization.

345866328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23981 (or 23971 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 345866328 is about 18597.4817650132. The cubic root of 345866328 is about 701.9444765787.

The spelling of 345866328 in words is "three hundred forty-five million, eight hundred sixty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 108 134 201 216 268 402 536 603 804 1206 1608 1809 2412 3618 4824 7236 14472 23899 47798 71697 95596 143394 191192 215091 286788 430182 573576 645273 860364 1290546 1601233 1720728 2581092 3202466 4803699 5162184 6404932 9607398 12809864 14411097 19214796 28822194 38429592 43233291 57644388 86466582 115288776 172933164 345866328