Search a number
-
+
34609356 = 2234372887
BaseRepresentation
bin1000010000000…
…1100011001100
32102010100010000
42010001203030
532324444411
63233444300
7600113625
oct204014314
972110100
1034609356
1118599581
12b710690
13722a012
14484ca4c
153089956
hex21018cc

34609356 has 60 divisors (see below), whose sum is σ = 92953168. Its totient is φ = 11220768.

The previous prime is 34609327. The next prime is 34609357. The reversal of 34609356 is 65390643.

34609356 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34609356.

It is not an unprimeable number, because it can be changed into a prime (34609357) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10545 + ... + 13431.

Almost surely, 234609356 is an apocalyptic number.

34609356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34609356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46476584).

34609356 is an abundant number, since it is smaller than the sum of its proper divisors (58343812).

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

34609356 is a wasteful number, since it uses less digits than its factorization.

34609356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2940 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 34609356 is about 5882.9716980451. The cubic root of 34609356 is about 325.8851013407.

Adding to 34609356 its reverse (65390643), we get a palindrome (99999999).

The spelling of 34609356 in words is "thirty-four million, six hundred nine thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1998 2887 2997 3996 5774 5994 8661 11548 11988 17322 25983 34644 51966 77949 103932 106819 155898 213638 233847 311796 320457 427276 467694 640914 935388 961371 1281828 1922742 2884113 3845484 5768226 8652339 11536452 17304678 34609356