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34334136 = 2332476863
BaseRepresentation
bin1000001011111…
…0010110111000
32101121100120200
42002332112320
532242143021
63223522200
7564556344
oct202762670
971540520
1034334136
1118420821
12b5b9360
137161975
1447ba624
153033126
hex20be5b8

34334136 has 24 divisors (see below), whose sum is σ = 92988480. Its totient is φ = 11444688.

The previous prime is 34334129. The next prime is 34334141. The reversal of 34334136 is 63143343.

34334136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

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 5 ways as a sum of consecutive naturals, for example, 238360 + ... + 238503.

It is an arithmetic number, because the mean of its divisors is an integer number (3874520).

Almost surely, 234334136 is an apocalyptic number.

34334136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34334136 is an abundant number, since it is smaller than the sum of its proper divisors (58654344).

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

34334136 is a wasteful number, since it uses less digits than its factorization.

34334136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476875 (or 476868 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 34334136 is about 5859.5337698489. The cubic root of 34334136 is about 325.0189685181.

Adding to 34334136 its reverse (63143343), we get a palindrome (97477479).

It can be divided in two parts, 3433 and 4136, that added together give a square (7569 = 872).

The spelling of 34334136 in words is "thirty-four million, three hundred thirty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 476863 953726 1430589 1907452 2861178 3814904 4291767 5722356 8583534 11444712 17167068 34334136