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3406917448 = 2311294393041
BaseRepresentation
bin1100101100010001…
…0110111101001000
322210102201100010201
43023010112331020
523434132324243
61322022021544
7150266214634
oct31304267510
98712640121
103406917448
111499130560
127b0b778b4
13423aa85ac
1424468bdc4
1514e17204d
hexcb116f48

3406917448 has 64 divisors (see below), whose sum is σ = 7227792000. Its totient is φ = 1491302400.

The previous prime is 3406917443. The next prime is 3406917461. The reversal of 3406917448 is 8447196043.

It is a junction number, because it is equal to n+sod(n) for n = 3406917398 and 3406917407.

It is not an unprimeable number, because it can be changed into a prime (3406917443) 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, 1118808 + ... + 1121848.

It is an arithmetic number, because the mean of its divisors is an integer number (112934250).

Almost surely, 23406917448 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 3406917448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3613896000).

3406917448 is an abundant number, since it is smaller than the sum of its proper divisors (3820874552).

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

3406917448 is a wasteful number, since it uses less digits than its factorization.

3406917448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3526 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The square root of 3406917448 is about 58368.8054357805. The cubic root of 3406917448 is about 1504.7136827621.

The spelling of 3406917448 in words is "three billion, four hundred six million, nine hundred seventeen thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 439 638 878 1276 1756 2552 3041 3512 4829 6082 9658 12164 12731 19316 24328 25462 33451 38632 50924 66902 88189 101848 133804 140041 176378 267608 280082 352756 560164 705512 970079 1120328 1334999 1940158 2669998 3880316 5339996 7760632 10679992 14684989 29369978 38714971 58739956 77429942 117479912 154859884 309719768 425864681 851729362 1703458724 3406917448