Search a number
-
+
34284822 = 231113311289
BaseRepresentation
bin1000001011001…
…0010100010110
32101111211221020
42002302110112
532234103242
63222502010
7564262515
oct202622426
971454836
1034284822
1118397770
12b594906
1371453a0
1447a667c
1530236ec
hex20b2516

34284822 has 64 divisors (see below), whose sum is σ = 83220480. Its totient is φ = 9273600.

The previous prime is 34284787. The next prime is 34284823. The reversal of 34284822 is 22848243.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34284823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25954 + ... + 27242.

It is an arithmetic number, because the mean of its divisors is an integer number (1300320).

Almost surely, 234284822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34284822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41610240).

34284822 is an abundant number, since it is smaller than the sum of its proper divisors (48935658).

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

34284822 is a wasteful number, since it uses less digits than its factorization.

34284822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349.

The product of its digits is 24576, while the sum is 33.

The square root of 34284822 is about 5855.3242437973. The cubic root of 34284822 is about 324.8632860880.

The spelling of 34284822 in words is "thirty-four million, two hundred eighty-four thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 11 13 22 26 31 33 39 62 66 78 93 143 186 286 341 403 429 682 806 858 1023 1209 1289 2046 2418 2578 3867 4433 7734 8866 13299 14179 16757 26598 28358 33514 39959 42537 50271 79918 85074 100542 119877 184327 239754 368654 439549 519467 552981 879098 1038934 1105962 1318647 1558401 2637294 3116802 5714137 11428274 17142411 34284822