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34426320 = 2435143443
BaseRepresentation
bin1000001101010…
…0110111010000
32101210001000220
42003110313100
532303120240
63225513040
7565422165
oct203246720
971701026
1034426320
1118484005
12b642780
137194906
14480206c
1530505d0
hex20d4dd0

34426320 has 40 divisors (see below), whose sum is σ = 106722336. Its totient is φ = 9180288.

The previous prime is 34426313. The next prime is 34426321. The reversal of 34426320 is 2362443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34426321) 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 7 ways as a sum of consecutive naturals, for example, 71482 + ... + 71961.

Almost surely, 234426320 is an apocalyptic number.

34426320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34426320 is an abundant number, since it is smaller than the sum of its proper divisors (72296016).

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

34426320 is a wasteful number, since it uses less digits than its factorization.

34426320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143459 (or 143453 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 34426320 is about 5867.3946518025. The cubic root of 34426320 is about 325.3095905961.

Adding to 34426320 its reverse (2362443), we get a palindrome (36788763).

The spelling of 34426320 in words is "thirty-four million, four hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 143443 286886 430329 573772 717215 860658 1147544 1434430 1721316 2151645 2295088 2868860 3442632 4303290 5737720 6885264 8606580 11475440 17213160 34426320