Search a number
-
+
34553840 = 2453113933
BaseRepresentation
bin1000001111001…
…1111111110000
32102000111221212
42003303333300
532321210330
63232335252
7566463026
oct203637760
972014855
1034553840
11185608a2
12b6a4528
13720a979
144836716
153078295
hex20f3ff0

34553840 has 40 divisors (see below), whose sum is σ = 82935168. Its totient is φ = 13374720.

The previous prime is 34553807. The next prime is 34553861. The reversal of 34553840 is 4835543.

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

It is a junction number, because it is equal to n+sod(n) for n = 34553797 and 34553806.

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, 4487 + ... + 9446.

Almost surely, 234553840 is an apocalyptic number.

It is an amenable number.

34553840 is an abundant number, since it is smaller than the sum of its proper divisors (48381328).

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

34553840 is a wasteful number, since it uses less digits than its factorization.

34553840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13977 (or 13971 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 34553840 is about 5878.2514406922. The cubic root of 34553840 is about 325.7107600492.

The spelling of 34553840 in words is "thirty-four million, five hundred fifty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 13933 27866 55732 69665 111464 139330 222928 278660 431923 557320 863846 1114640 1727692 2159615 3455384 4319230 6910768 8638460 17276920 34553840