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34345656 = 23321014723
BaseRepresentation
bin1000001100000…
…1001010111000
32101121221101100
42003001022320
532243030111
63224051400
7564635052
oct203011270
971557340
1034345656
1118429444
12b603b60
137166c97
1447c08d2
153036756
hex20c12b8

34345656 has 48 divisors (see below), whose sum is σ = 93960360. Its totient is φ = 11332800.

The previous prime is 34345639. The next prime is 34345667. The reversal of 34345656 is 65654343.

34345656 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 34345656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4911 + ... + 9633.

Almost surely, 234345656 is an apocalyptic number.

34345656 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 34345656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46980180).

34345656 is an abundant number, since it is smaller than the sum of its proper divisors (59614704).

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

34345656 is a wasteful number, since it uses less digits than its factorization.

34345656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4836 (or 4829 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 34345656 is about 5860.5167007697. The cubic root of 34345656 is about 325.0553152396.

Adding to 34345656 its reverse (65654343), we get a palindrome (99999999).

The spelling of 34345656 in words is "thirty-four million, three hundred forty-five thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 4723 7272 9446 14169 18892 28338 37784 42507 56676 85014 113352 170028 340056 477023 954046 1431069 1908092 2862138 3816184 4293207 5724276 8586414 11448552 17172828 34345656