[go: up one dir, main page]

Search a number
-
+
34319214 = 234415167
BaseRepresentation
bin1000001011101…
…0101101101110
32101120121010000
42002322231232
532241203324
63223325130
7564465006
oct202725556
971517100
1034319214
1118410596
12b5b07a6
137157c37
1447b5006
15302d9c9
hex20bab6e

34319214 has 40 divisors (see below), whose sum is σ = 78791328. Its totient is φ = 11158560.

The previous prime is 34319191. The next prime is 34319227. The reversal of 34319214 is 41291343.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4059 + ... + 9225.

Almost surely, 234319214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34319214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39395664).

34319214 is an abundant number, since it is smaller than the sum of its proper divisors (44472114).

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

34319214 is a wasteful number, since it uses less digits than its factorization.

34319214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5222 (or 5213 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 34319214 is about 5858.2603219727. The cubic root of 34319214 is about 324.9718760673.

It can be divided in two parts, 343192 and 14, that added together give a triangular number (343206 = T828).

The spelling of 34319214 in words is "thirty-four million, three hundred nineteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 738 1107 2214 3321 5167 6642 10334 15501 31002 46503 93006 139509 211847 279018 418527 423694 635541 837054 1271082 1906623 3813246 5719869 11439738 17159607 34319214