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34132116 = 2233191753
BaseRepresentation
bin1000001000110…
…1000010010100
32101020002110110
42002031002110
532214211431
63215323020
7563055354
oct202150224
971202413
1034132116
11182a2a67
12b520470
1370c0a25
144766b64
152ee3346
hex208d094

34132116 has 24 divisors (see below), whose sum is σ = 82211584. Its totient is φ = 11010240.

The previous prime is 34132097. The next prime is 34132117. The reversal of 34132116 is 61123143.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34132092 and 34132101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34132117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45505 + ... + 46248.

Almost surely, 234132116 is an apocalyptic number.

It is an amenable number.

34132116 is an abundant number, since it is smaller than the sum of its proper divisors (48079468).

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

34132116 is a wasteful number, since it uses less digits than its factorization.

34132116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91791 (or 91789 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 34132116 is about 5842.2697643981. The cubic root of 34132116 is about 324.3802500997.

Adding to 34132116 its reverse (61123143), we get a palindrome (95255259).

It can be divided in two parts, 34 and 132116, that multiplied together give a palindrome (4491944).

The spelling of 34132116 in words is "thirty-four million, one hundred thirty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 91753 183506 275259 367012 550518 1101036 2844343 5688686 8533029 11377372 17066058 34132116