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34421568 = 263612939
BaseRepresentation
bin1000001101001…
…1101101000000
32101202210111220
42003103231000
532302442233
63225435040
7565402266
oct203235500
971683456
1034421568
1118480485
12b63ba80
1371926bc
144800436
15304deb3
hex20d3b40

34421568 has 56 divisors (see below), whose sum is σ = 92598240. Its totient is φ = 11281920.

The previous prime is 34421561. The next prime is 34421587. The reversal of 34421568 is 86512443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34421561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10243 + ... + 13181.

It is an arithmetic number, because the mean of its divisors is an integer number (1653540).

Almost surely, 234421568 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 34421568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46299120).

34421568 is an abundant number, since it is smaller than the sum of its proper divisors (58176672).

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

34421568 is a wasteful number, since it uses less digits than its factorization.

34421568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3015 (or 3005 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 34421568 is about 5866.9896880768. The cubic root of 34421568 is about 325.2946219877.

It can be divided in two parts, 344 and 21568, that added together give a palindrome (21912).

The spelling of 34421568 in words is "thirty-four million, four hundred twenty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 183 192 244 366 488 732 976 1464 1952 2928 2939 3904 5856 5878 8817 11712 11756 17634 23512 35268 47024 70536 94048 141072 179279 188096 282144 358558 537837 564288 717116 1075674 1434232 2151348 2868464 4302696 5736928 8605392 11473856 17210784 34421568