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34845384 = 2337211983
BaseRepresentation
bin1000010011101…
…1001011001000
32102120022212210
42010323023020
532410023014
63242505120
7602116020
oct204731310
972508783
1034845384
111873a942
12b8051a0
1372b0592
1448b0a80
1530d4859
hex213b2c8

34845384 has 64 divisors (see below), whose sum is σ = 100131840. Its totient is φ = 9898560.

The previous prime is 34845361. The next prime is 34845389. The reversal of 34845384 is 48354843.

It is a happy number.

It is a super-2 number, since 2×348453842 = 2428401572214912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34845389) 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, 34957 + ... + 35939.

It is an arithmetic number, because the mean of its divisors is an integer number (1564560).

Almost surely, 234845384 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 34845384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50065920).

34845384 is an abundant number, since it is smaller than the sum of its proper divisors (65286456).

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

34845384 is a wasteful number, since it uses less digits than its factorization.

34845384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1206 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 34845384 is about 5902.9978824323. The cubic root of 34845384 is about 326.6242445721.

The spelling of 34845384 in words is "thirty-four million, eight hundred forty-five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 211 422 633 844 983 1266 1477 1688 1966 2532 2949 2954 3932 4431 5064 5898 5908 6881 7864 8862 11796 11816 13762 17724 20643 23592 27524 35448 41286 55048 82572 165144 207413 414826 622239 829652 1244478 1451891 1659304 2488956 2903782 4355673 4977912 5807564 8711346 11615128 17422692 34845384