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34423840 = 2551119559
BaseRepresentation
bin1000001101010…
…0010000100000
32101202220122001
42003110100200
532303030330
63225453344
7565412023
oct203242040
971686561
1034423840
1118482160
12b641254
137193749
1448011ba
15304e9ca
hex20d4420

34423840 has 48 divisors (see below), whose sum is σ = 88724160. Its totient is φ = 12517120.

The previous prime is 34423819. The next prime is 34423849. The reversal of 34423840 is 4832443.

It is a junction number, because it is equal to n+sod(n) for n = 34423799 and 34423808.

It is not an unprimeable number, because it can be changed into a prime (34423849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8020 + ... + 11539.

It is an arithmetic number, because the mean of its divisors is an integer number (1848420).

Almost surely, 234423840 is an apocalyptic number.

It is an amenable number.

34423840 is an abundant number, since it is smaller than the sum of its proper divisors (54300320).

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

34423840 is a wasteful number, since it uses less digits than its factorization.

34423840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19585 (or 19577 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 34423840 is about 5867.1833105844. The cubic root of 34423840 is about 325.3017788680.

The spelling of 34423840 in words is "thirty-four million, four hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 19559 39118 78236 97795 156472 195590 215149 312944 391180 430298 625888 782360 860596 1075745 1564720 1721192 2151490 3129440 3442384 4302980 6884768 8605960 17211920 34423840