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34414254 = 2337181503
BaseRepresentation
bin1000001101000…
…1111010101110
32101202102111000
42003101322232
532302224004
63225341130
7565342050
oct203217256
971672430
1034414254
1118475a36
12b6377a6
13718c284
1447db8d0
15304bc39
hex20d1eae

34414254 has 64 divisors (see below), whose sum is σ = 88058880. Its totient is φ = 9758880.

The previous prime is 34414249. The next prime is 34414267. The reversal of 34414254 is 45241443.

It is a happy number.

34414254 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68167 + ... + 68669.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 234414254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34414254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44029440).

34414254 is an abundant number, since it is smaller than the sum of its proper divisors (53644626).

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

34414254 is a wasteful number, since it uses less digits than its factorization.

34414254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 696 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 34414254 is about 5866.3663370096. The cubic root of 34414254 is about 325.2715804904.

Adding to 34414254 its reverse (45241443), we get a palindrome (79655697).

The spelling of 34414254 in words is "thirty-four million, four hundred fourteen thousand, two hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 181 189 362 378 503 543 1006 1086 1267 1509 1629 2534 3018 3258 3521 3801 4527 4887 7042 7602 9054 9774 10563 11403 13581 21126 22806 27162 31689 34209 63378 68418 91043 95067 182086 190134 273129 546258 637301 819387 1274602 1638774 1911903 2458161 3823806 4916322 5735709 11471418 17207127 34414254