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34192380 = 2235312593
BaseRepresentation
bin1000001001101…
…1101111111100
32101100011010110
42002123233330
532223124010
63220510020
7563426145
oct202335774
971304113
1034192380
1118334272
12b54b310
1371122a1
144780acc
153006120
hex209bbfc

34192380 has 72 divisors (see below), whose sum is σ = 99093456. Its totient is φ = 8808960.

The previous prime is 34192369. The next prime is 34192387. The reversal of 34192380 is 8329143.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34192387) 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, 57364 + ... + 57956.

It is an arithmetic number, because the mean of its divisors is an integer number (1376298).

Almost surely, 234192380 is an apocalyptic number.

34192380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34192380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49546728).

34192380 is an abundant number, since it is smaller than the sum of its proper divisors (64901076).

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

34192380 is a wasteful number, since it uses less digits than its factorization.

34192380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 34192380 is about 5847.4250743383. The cubic root of 34192380 is about 324.5710475067.

The spelling of 34192380 in words is "thirty-four million, one hundred ninety-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 593 620 930 961 1186 1779 1860 1922 2372 2883 2965 3558 3844 4805 5766 5930 7116 8895 9610 11532 11860 14415 17790 18383 19220 28830 35580 36766 55149 57660 73532 91915 110298 183830 220596 275745 367660 551490 569873 1102980 1139746 1709619 2279492 2849365 3419238 5698730 6838476 8548095 11397460 17096190 34192380