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34555444 = 22711151743
BaseRepresentation
bin1000001111010…
…0011000110100
32102000121011021
42003310120310
532321233234
63232350524
7566500510
oct203643064
972017137
1034555444
1118562020
12b6a5444
13720b611
144837140
1530789b4
hex20f4634

34555444 has 48 divisors (see below), whose sum is σ = 75995136. Its totient is φ = 13356000.

The previous prime is 34555439. The next prime is 34555457. The reversal of 34555444 is 44455543.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 46137 + ... + 46879.

It is an arithmetic number, because the mean of its divisors is an integer number (1583232).

Almost surely, 234555444 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 34555444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37997568).

34555444 is an abundant number, since it is smaller than the sum of its proper divisors (41439692).

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

34555444 is a wasteful number, since it uses less digits than its factorization.

34555444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 914 counting only the distinct ones).

The product of its digits is 96000, while the sum is 34.

The square root of 34555444 is about 5878.3878742390. The cubic root of 34555444 is about 325.7157998361.

Subtracting 34555444 from its reverse (44455543), we obtain a palindrome (9900099).

The spelling of 34555444 in words is "thirty-four million, five hundred fifty-five thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 151 154 302 308 604 743 1057 1486 1661 2114 2972 3322 4228 5201 6644 8173 10402 11627 16346 20804 23254 32692 46508 57211 112193 114422 224386 228844 448772 785351 1234123 1570702 2468246 3141404 4936492 8638861 17277722 34555444