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345533608 = 23729263809
BaseRepresentation
bin10100100110000…
…110110010101000
3220002011221000001
4110212012302220
51201424033413
654141552344
711363662420
oct2446066250
9802157001
10345533608
11168054572
12978756b4
1356781274
1433c67480
15205054dd
hex14986ca8

345533608 has 64 divisors (see below), whose sum is σ = 769824000. Its totient is φ = 142259712.

The previous prime is 345533603. The next prime is 345533611. The reversal of 345533608 is 806335543.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (345533603) 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, 426708 + ... + 427516.

It is an arithmetic number, because the mean of its divisors is an integer number (12028500).

Almost surely, 2345533608 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 345533608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384912000).

345533608 is an abundant number, since it is smaller than the sum of its proper divisors (424290392).

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

345533608 is a wasteful number, since it uses less digits than its factorization.

345533608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The square root of 345533608 is about 18588.5343155398. The cubic root of 345533608 is about 701.7193164724.

The spelling of 345533608 in words is "three hundred forty-five million, five hundred thirty-three thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 263 406 526 809 812 1052 1618 1624 1841 2104 3236 3682 5663 6472 7364 7627 11326 14728 15254 22652 23461 30508 45304 46922 53389 61016 93844 106778 164227 187688 212767 213556 328454 425534 427112 656908 851068 1313816 1489369 1702136 2978738 5957476 6170243 11914952 12340486 24680972 43191701 49361944 86383402 172766804 345533608