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34179912 = 2332132532
BaseRepresentation
bin1000001001100…
…0101101001000
32101022112000200
42002120231020
532222224122
63220332200
7563344614
oct202305510
971275020
1034179912
1118325968
12b544060
137109700
14477a344
1530025ac
hex2098b48

34179912 has 108 divisors (see below), whose sum is σ = 102166155. Its totient is φ = 10318464.

The previous prime is 34179889. The next prime is 34179919. The reversal of 34179912 is 21997143.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 11655396 + 22524516 = 3414^2 + 4746^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4134.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (34179919) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 644878 + ... + 644930.

Almost surely, 234179912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34179912

34179912 is an abundant number, since it is smaller than the sum of its proper divisors (67986243).

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

34179912 is a wasteful number, since it uses less digits than its factorization.

34179912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 71 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 34179912 is about 5846.3588668504. The cubic root of 34179912 is about 324.5315918951.

The spelling of 34179912 in words is "thirty-four million, one hundred seventy-nine thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 53 72 78 104 106 117 156 159 169 212 234 312 318 338 424 468 477 507 636 676 689 936 954 1014 1272 1352 1378 1521 1908 2028 2067 2756 2809 3042 3816 4056 4134 5512 5618 6084 6201 8268 8427 8957 11236 12168 12402 16536 16854 17914 22472 24804 25281 26871 33708 35828 36517 49608 50562 53742 67416 71656 73034 80613 101124 107484 109551 146068 161226 202248 214968 219102 292136 322452 328653 438204 474721 644904 657306 876408 949442 1314612 1424163 1898884 2629224 2848326 3797768 4272489 5696652 8544978 11393304 17089956 34179912