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34680144 = 2431275689
BaseRepresentation
bin1000010001001…
…0110101010000
32102020221012210
42010102311100
532334231034
63235152120
7600530202
oct204226520
972227183
1034680144
1118637784
12b745640
1372532c5
14486a772
1530a08e9
hex2112d50

34680144 has 40 divisors (see below), whose sum is σ = 90311680. Its totient is φ = 11467008.

The previous prime is 34680127. The next prime is 34680157. The reversal of 34680144 is 44108643.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3252 + ... + 8940.

It is an arithmetic number, because the mean of its divisors is an integer number (2257792).

Almost surely, 234680144 is an apocalyptic number.

It is an amenable number.

34680144 is an abundant number, since it is smaller than the sum of its proper divisors (55631536).

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

34680144 is a wasteful number, since it uses less digits than its factorization.

34680144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5827 (or 5821 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 34680144 is about 5888.9849719625. The cubic root of 34680144 is about 326.1071322906.

Adding to 34680144 its reverse (44108643), we get a palindrome (78788787).

The spelling of 34680144 in words is "thirty-four million, six hundred eighty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 127 254 381 508 762 1016 1524 2032 3048 5689 6096 11378 17067 22756 34134 45512 68268 91024 136536 273072 722503 1445006 2167509 2890012 4335018 5780024 8670036 11560048 17340072 34680144