Search a number
-
+
6340694448 = 2431197123803
BaseRepresentation
bin1011110011110111…
…10101000110110000
3121100220010122121010
411321323311012300
5100441204210243
62525103030520
7313062004434
oct57173650660
917326118533
106340694448
11276417a650
12128b59b440
137a084450a
144421769c4
152719d4433
hex179ef51b0

6340694448 has 80 divisors (see below), whose sum is σ = 18053594496. Its totient is φ = 1901598720.

The previous prime is 6340694443. The next prime is 6340694467. The reversal of 6340694448 is 8444960436.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 6340694397 and 6340694406.

It is not an unprimeable number, because it can be changed into a prime (6340694443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10686 + ... + 113117.

Almost surely, 26340694448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6340694448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9026797248).

6340694448 is an abundant number, since it is smaller than the sum of its proper divisors (11712900048).

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

6340694448 is a wasteful number, since it uses less digits than its factorization.

6340694448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123922 (or 123916 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The square root of 6340694448 is about 79628.4776195049. The cubic root of 6340694448 is about 1850.8828946745.

The spelling of 6340694448 in words is "six billion, three hundred forty million, six hundred ninety-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 97 132 176 194 264 291 388 528 582 776 1067 1164 1552 2134 2328 3201 4268 4656 6402 8536 12804 17072 25608 51216 123803 247606 371409 495212 742818 990424 1361833 1485636 1980848 2723666 2971272 4085499 5447332 5942544 8170998 10894664 12008891 16341996 21789328 24017782 32683992 36026673 48035564 65367984 72053346 96071128 132097801 144106692 192142256 264195602 288213384 396293403 528391204 576426768 792586806 1056782408 1585173612 2113564816 3170347224 6340694448