Search a number
-
+
1742406444 = 223328975569
BaseRepresentation
bin110011111011011…
…0000001100101100
311111102122102022000
41213312300030230
512032024001234
6444521452300
761115132112
oct14766601454
94442572260
101742406444
118145a7829
12407641090
13219ca653c
141275a3ab2
15a2e7d899
hex67db032c

1742406444 has 48 divisors (see below), whose sum is σ = 4519720800. Its totient is φ = 580497408.

The previous prime is 1742406443. The next prime is 1742406461. The reversal of 1742406444 is 4446042471.

1742406444 is a `hidden beast` number, since 1 + 7 + 4 + 2 + 4 + 0 + 644 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1742406399 and 1742406408.

It is not an unprimeable number, because it can be changed into a prime (1742406443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310092 + ... + 315660.

It is an arithmetic number, because the mean of its divisors is an integer number (94160850).

Almost surely, 21742406444 is an apocalyptic number.

It is an amenable number.

1742406444 is an abundant number, since it is smaller than the sum of its proper divisors (2777314356).

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

1742406444 is a wasteful number, since it uses less digits than its factorization.

1742406444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8479 (or 8471 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 1742406444 is about 41742.1423024741. The cubic root of 1742406444 is about 1203.3256001392.

The spelling of 1742406444 in words is "one billion, seven hundred forty-two million, four hundred six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2897 5569 5794 8691 11138 11588 16707 17382 22276 26073 33414 34764 50121 52146 66828 78219 100242 104292 150363 156438 200484 300726 312876 601452 16133393 32266786 48400179 64533572 96800358 145200537 193600716 290401074 435601611 580802148 871203222 1742406444