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34098390 = 2325616211
BaseRepresentation
bin1000001000010…
…0110011010110
32101011101012100
42002010303112
532212122030
63214502530
7562555134
oct202046326
971141170
1034098390
111827a697
12b504a46
1370ab581
144758754
152ed8360
hex2084cd6

34098390 has 48 divisors (see below), whose sum is σ = 90123696. Its totient is φ = 8942400.

The previous prime is 34098371. The next prime is 34098391. The reversal of 34098390 is 9389043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34098391) 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, 2385 + ... + 8595.

It is an arithmetic number, because the mean of its divisors is an integer number (1877577).

Almost surely, 234098390 is an apocalyptic number.

34098390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34098390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45061848).

34098390 is an abundant number, since it is smaller than the sum of its proper divisors (56025306).

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

34098390 is a wasteful number, since it uses less digits than its factorization.

34098390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6285 (or 6282 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 34098390 is about 5839.3826728516. The cubic root of 34098390 is about 324.2733746710.

The spelling of 34098390 in words is "thirty-four million, ninety-eight thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2745 5490 6211 12422 18633 31055 37266 55899 62110 93165 111798 186330 279495 378871 558990 757742 1136613 1894355 2273226 3409839 3788710 5683065 6819678 11366130 17049195 34098390