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34378146 = 23211237549
BaseRepresentation
bin1000001100100…
…1000110100010
32101200120221200
42003021012202
532300100041
63224502030
7565131555
oct203110642
971616850
1034378146
11184508a0
12b61a916
1371789ca
1447cc69c
1530411b6
hex20c91a2

34378146 has 48 divisors (see below), whose sum is σ = 84801600. Its totient is φ = 9963360.

The previous prime is 34378121. The next prime is 34378147. The reversal of 34378146 is 64187343.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34378146.

It is not an unprimeable number, because it can be changed into a prime (34378147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 780 + ... + 8328.

It is an arithmetic number, because the mean of its divisors is an integer number (1766700).

Almost surely, 234378146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34378146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42400800).

34378146 is an abundant number, since it is smaller than the sum of its proper divisors (50423454).

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

34378146 is a wasteful number, since it uses less digits than its factorization.

34378146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7591 (or 7588 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 34378146 is about 5863.2879854225. The cubic root of 34378146 is about 325.1577805877.

The spelling of 34378146 in words is "thirty-four million, three hundred seventy-eight thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 759 1518 2277 4554 7549 15098 22647 45294 67941 83039 135882 166078 173627 249117 347254 498234 520881 747351 1041762 1494702 1562643 1909897 3125286 3819794 5729691 11459382 17189073 34378146