Search a number
-
+
34325016 = 23311235653
BaseRepresentation
bin1000001011110…
…0001000011000
32101120220001220
42002330020120
532241400031
63223412040
7564520635
oct202741030
971526056
1034325016
1118414990
12b5b4020
13715a77b
1447b718c
153030596
hex20bc218

34325016 has 64 divisors (see below), whose sum is σ = 97701120. Its totient is φ = 9947520.

The previous prime is 34324957. The next prime is 34325033. The reversal of 34325016 is 61052343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3246 + ... + 8898.

It is an arithmetic number, because the mean of its divisors is an integer number (1526580).

Almost surely, 234325016 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 34325016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48850560).

34325016 is an abundant number, since it is smaller than the sum of its proper divisors (63376104).

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

34325016 is a wasteful number, since it uses less digits than its factorization.

34325016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5696 (or 5692 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 34325016 is about 5858.7554992507. The cubic root of 34325016 is about 324.9901882639.

Adding to 34325016 its reverse (61052343), we get a palindrome (95377359).

It can be divided in two parts, 3432 and 5016, that added together give a palindrome (8448).

The spelling of 34325016 in words is "thirty-four million, three hundred twenty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 3036 5653 6072 11306 16959 22612 33918 45224 62183 67836 124366 130019 135672 186549 248732 260038 373098 390057 497464 520076 746196 780114 1040152 1430209 1492392 1560228 2860418 3120456 4290627 5720836 8581254 11441672 17162508 34325016