Search a number
-
+
414195372 = 223211505427
BaseRepresentation
bin11000101100000…
…001111010101100
31001212101022020100
4120230001322230
51322013222442
6105033351100
713156413453
oct3054017254
91055338210
10414195372
111a2891128
12b6868490
1367a71926
143d01bb9a
152656984c
hex18b01eac

414195372 has 18 divisors (see below), whose sum is σ = 1046993948. Its totient is φ = 138065112.

The previous prime is 414195367. The next prime is 414195391. The reversal of 414195372 is 273591414.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11505427 = 414195372 / (4 + 1 + 4 + 1 + 9 + 5 + 3 + 7 + 2).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5752678 + ... + 5752749.

Almost surely, 2414195372 is an apocalyptic number.

It is an amenable number.

414195372 is an abundant number, since it is smaller than the sum of its proper divisors (632798576).

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

414195372 is a wasteful number, since it uses less digits than its factorization.

414195372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11505437 (or 11505432 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 414195372 is about 20351.7903880715. The cubic root of 414195372 is about 745.4212124929.

The spelling of 414195372 in words is "four hundred fourteen million, one hundred ninety-five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 11505427 23010854 34516281 46021708 69032562 103548843 138065124 207097686 414195372