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34442320 = 2451139139
BaseRepresentation
bin1000001101100…
…0110001010000
32101210211222111
42003120301100
532304123240
63230115104
7565516633
oct203306120
971724874
1034442320
1118495030
12b64ba94
13719bc93
144807c1a
1530551ea
hex20d8c50

34442320 has 40 divisors (see below), whose sum is σ = 87360480. Its totient is φ = 12524160.

The previous prime is 34442311. The next prime is 34442329. The reversal of 34442320 is 2324443.

It is an interprime number because it is at equal distance from previous prime (34442311) and next prime (34442329).

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 (22).

It is a junction number, because it is equal to n+sod(n) for n = 34442291 and 34442300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34442329) 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, 18690 + ... + 20449.

It is an arithmetic number, because the mean of its divisors is an integer number (2184012).

Almost surely, 234442320 is an apocalyptic number.

It is an amenable number.

34442320 is an abundant number, since it is smaller than the sum of its proper divisors (52918160).

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

34442320 is a wasteful number, since it uses less digits than its factorization.

34442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39163 (or 39157 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 34442320 is about 5868.7579605910. The cubic root of 34442320 is about 325.3599798265.

Adding to 34442320 its reverse (2324443), we get a palindrome (36766763).

It can be divided in two parts, 344423 and 20, that added together give a palindrome (344443).

The spelling of 34442320 in words is "thirty-four million, four hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 39139 78278 156556 195695 313112 391390 430529 626224 782780 861058 1565560 1722116 2152645 3131120 3444232 4305290 6888464 8610580 17221160 34442320