Search a number
-
+
34745680 = 2451922859
BaseRepresentation
bin1000010010001…
…0110101010000
32102101021010001
42010202311100
532343330210
63240415344
7601222234
oct204426520
972337101
1034745680
1118681a42
12b777554
137277098
1448865c4
1530b503a
hex2122d50

34745680 has 40 divisors (see below), whose sum is σ = 85039200. Its totient is φ = 13166208.

The previous prime is 34745657. The next prime is 34745713. The reversal of 34745680 is 8654743.

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 12.

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, 9910 + ... + 12949.

It is an arithmetic number, because the mean of its divisors is an integer number (2125980).

Almost surely, 234745680 is an apocalyptic number.

It is an amenable number.

34745680 is an abundant number, since it is smaller than the sum of its proper divisors (50293520).

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

34745680 is a wasteful number, since it uses less digits than its factorization.

34745680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22891 (or 22885 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 34745680 is about 5894.5466322695. The cubic root of 34745680 is about 326.3124208353.

The spelling of 34745680 in words is "thirty-four million, seven hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 22859 45718 91436 114295 182872 228590 365744 434321 457180 868642 914360 1737284 1828720 2171605 3474568 4343210 6949136 8686420 17372840 34745680