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34378340 = 2252959273
BaseRepresentation
bin1000001100100…
…1001001100100
32101200121012212
42003021021210
532300101330
63224502552
7565132253
oct203111144
971617185
1034378340
1118450a57
12b61aa58
137178b19
1447cc79a
153041295
hex20c9264

34378340 has 24 divisors (see below), whose sum is σ = 74685240. Its totient is φ = 13276928.

The previous prime is 34378339. The next prime is 34378343. The reversal of 34378340 is 4387343.

It can be written as a sum of positive squares in 4 ways, for example, as 4194304 + 30184036 = 2048^2 + 5494^2 .

It is a super-2 number, since 2×343783402 = 2363740522311200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34378297 and 34378306.

It is not an unprimeable number, because it can be changed into a prime (34378343) 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, 29057 + ... + 30216.

It is an arithmetic number, because the mean of its divisors is an integer number (3111885).

Almost surely, 234378340 is an apocalyptic number.

It is an amenable number.

34378340 is an abundant number, since it is smaller than the sum of its proper divisors (40306900).

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

34378340 is a wasteful number, since it uses less digits than its factorization.

34378340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59311 (or 59309 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 34378340 is about 5863.3045290177. The cubic root of 34378340 is about 325.1583922213.

The spelling of 34378340 in words is "thirty-four million, three hundred seventy-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 59273 118546 237092 296365 592730 1185460 1718917 3437834 6875668 8594585 17189170 34378340