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34845330 = 23513471901
BaseRepresentation
bin1000010011101…
…1001010010010
32102120022210210
42010323022102
532410022310
63242504550
7602115612
oct204731222
972508723
1034845330
111873a8a3
12b805156
1372b0550
1448b0a42
1530d4820
hex213b292

34845330 has 64 divisors (see below), whose sum is σ = 92026368. Its totient is φ = 8390400.

The previous prime is 34845329. The next prime is 34845347. The reversal of 34845330 is 3354843.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 17380 + ... + 19280.

It is an arithmetic number, because the mean of its divisors is an integer number (1437912).

Almost surely, 234845330 is an apocalyptic number.

34845330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34845330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46013184).

34845330 is an abundant number, since it is smaller than the sum of its proper divisors (57181038).

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

34845330 is a wasteful number, since it uses less digits than its factorization.

34845330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971.

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 34845330 is about 5902.9933084834. The cubic root of 34845330 is about 326.6240758485.

The spelling of 34845330 in words is "thirty-four million, eight hundred forty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 47 65 78 94 130 141 195 235 282 390 470 611 705 1222 1410 1833 1901 3055 3666 3802 5703 6110 9165 9505 11406 18330 19010 24713 28515 49426 57030 74139 89347 123565 148278 178694 247130 268041 370695 446735 536082 741390 893470 1161511 1340205 2323022 2680410 3484533 5807555 6969066 11615110 17422665 34845330