Search a number
-
+
34334196 = 223131271733
BaseRepresentation
bin1000001011111…
…0010111110100
32101121100122220
42002332113310
532242143241
63223522340
7564556461
oct202762764
971540586
1034334196
1118420876
12b5b93b0
1371619c0
1447ba668
153033166
hex20be5f4

34334196 has 48 divisors (see below), whose sum is σ = 87005184. Its totient is φ = 10475136.

The previous prime is 34334191. The next prime is 34334207. The reversal of 34334196 is 69143343.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34334191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18946 + ... + 20678.

It is an arithmetic number, because the mean of its divisors is an integer number (1812608).

Almost surely, 234334196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34334196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43502592).

34334196 is an abundant number, since it is smaller than the sum of its proper divisors (52670988).

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

34334196 is a wasteful number, since it uses less digits than its factorization.

34334196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 1878 counting only the distinct ones).

The product of its digits is 23328, while the sum is 33.

The square root of 34334196 is about 5859.5388897080. The cubic root of 34334196 is about 325.0191578450.

The spelling of 34334196 in words is "thirty-four million, three hundred thirty-four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 127 156 254 381 508 762 1524 1651 1733 3302 3466 4953 5199 6604 6932 9906 10398 19812 20796 22529 45058 67587 90116 135174 220091 270348 440182 660273 880364 1320546 2641092 2861183 5722366 8583549 11444732 17167098 34334196