Search a number
-
+
34010823 = 3711295077
BaseRepresentation
bin1000000110111…
…1011011000111
32100222221002010
42001233123013
532201321243
63212545303
7562041630
oct201573307
970887063
1034010823
111821a920
12b482233
13707a762
144734887
152ebc433
hex206f6c7

34010823 has 32 divisors (see below), whose sum is σ = 58498560. Its totient is φ = 17055360.

The previous prime is 34010803. The next prime is 34010831. The reversal of 34010823 is 32801043.

It is a happy number.

It is not a de Polignac number, because 34010823 - 26 = 34010759 is a prime.

It is a super-2 number, since 2×340108232 = 2313472162274658, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 34010823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34010803) 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, 4161 + ... + 9237.

It is an arithmetic number, because the mean of its divisors is an integer number (1828080).

Almost surely, 234010823 is an apocalyptic number.

34010823 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34010823 is a deficient number, since it is larger than the sum of its proper divisors (24487737).

34010823 is a wasteful number, since it uses less digits than its factorization.

34010823 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5127.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 34010823 is about 5831.8798855944. The cubic root of 34010823 is about 323.9955513030.

Adding to 34010823 its reverse (32801043), we get a palindrome (66811866).

The spelling of 34010823 in words is "thirty-four million, ten thousand, eight hundred twenty-three".

Divisors: 1 3 7 11 21 29 33 77 87 203 231 319 609 957 2233 5077 6699 15231 35539 55847 106617 147233 167541 390929 441699 1030631 1172787 1619563 3091893 4858689 11336941 34010823